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Finding the Fourth Proportional to 2,074.59, 3,113.26 and 776.06

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Solution

The fourth proportional to 2,074.59, 3,113.26 and 776.06 is: 1,164.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.59 : 3,113.26 = 776.06 : x
  2. Step 2: Convert to fraction form
    2,074.59/3,113.26 = 776.06/x
  3. Step 3: Cross multiply
    2,074.59x = 3,113.26 × 776.06
  4. Step 4: Simplify right side
    2,074.59x = 2,416,076.56
  5. Step 5: Solve for x
    x = 2,416,076.56/2,074.59
  6. Step 6: Final answer
    x = 1,164.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.