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Finding the Fourth Proportional to 2,503.70, 3,772.46 and 2,074.51

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Solution

The fourth proportional to 2,503.70, 3,772.46 and 2,074.51 is: 3,125.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.70 : 3,772.46 = 2,074.51 : x
  2. Step 2: Convert to fraction form
    2,503.70/3,772.46 = 2,074.51/x
  3. Step 3: Cross multiply
    2,503.70x = 3,772.46 × 2,074.51
  4. Step 4: Simplify right side
    2,503.70x = 7,825,984.47
  5. Step 5: Solve for x
    x = 7,825,984.47/2,503.70
  6. Step 6: Final answer
    x = 3,125.76

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Find fourth proportional to 2,504.70, 3,773.96 and 2,075.51
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.