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Finding the Fourth Proportional to 1,747.76, 2,409.40 and 1,250.22

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Solution

The fourth proportional to 1,747.76, 2,409.40 and 1,250.22 is: 1,723.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.76 : 2,409.40 = 1,250.22 : x
  2. Step 2: Convert to fraction form
    1,747.76/2,409.40 = 1,250.22/x
  3. Step 3: Cross multiply
    1,747.76x = 2,409.40 × 1,250.22
  4. Step 4: Simplify right side
    1,747.76x = 3,012,280.07
  5. Step 5: Solve for x
    x = 3,012,280.07/1,747.76
  6. Step 6: Final answer
    x = 1,723.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.