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Finding the Fourth Proportional to 2,617.57, 3,926.27 and 974.13

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Solution

The fourth proportional to 2,617.57, 3,926.27 and 974.13 is: 1,461.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.57 : 3,926.27 = 974.13 : x
  2. Step 2: Convert to fraction form
    2,617.57/3,926.27 = 974.13/x
  3. Step 3: Cross multiply
    2,617.57x = 3,926.27 × 974.13
  4. Step 4: Simplify right side
    2,617.57x = 3,824,685.11
  5. Step 5: Solve for x
    x = 3,824,685.11/2,617.57
  6. Step 6: Final answer
    x = 1,461.16

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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.