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Finding the Fourth Proportional to 1,617.62, 2,428.25 and 960.92

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Solution

The fourth proportional to 1,617.62, 2,428.25 and 960.92 is: 1,442.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.62 : 2,428.25 = 960.92 : x
  2. Step 2: Convert to fraction form
    1,617.62/2,428.25 = 960.92/x
  3. Step 3: Cross multiply
    1,617.62x = 2,428.25 × 960.92
  4. Step 4: Simplify right side
    1,617.62x = 2,333,337.04
  5. Step 5: Solve for x
    x = 2,333,337.04/1,617.62
  6. Step 6: Final answer
    x = 1,442.46

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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.