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Finding the Fourth Proportional to 1,642.17, 2,265.42 and 1,111.25

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Solution

The fourth proportional to 1,642.17, 2,265.42 and 1,111.25 is: 1,532.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.17 : 2,265.42 = 1,111.25 : x
  2. Step 2: Convert to fraction form
    1,642.17/2,265.42 = 1,111.25/x
  3. Step 3: Cross multiply
    1,642.17x = 2,265.42 × 1,111.25
  4. Step 4: Simplify right side
    1,642.17x = 2,517,436.65
  5. Step 5: Solve for x
    x = 2,517,436.65/1,642.17
  6. Step 6: Final answer
    x = 1,532.99

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