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Finding the Fourth Proportional to 1,080.38, 1,618.14 and 1,030.16

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Solution

The fourth proportional to 1,080.38, 1,618.14 and 1,030.16 is: 1,542.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.38 : 1,618.14 = 1,030.16 : x
  2. Step 2: Convert to fraction form
    1,080.38/1,618.14 = 1,030.16/x
  3. Step 3: Cross multiply
    1,080.38x = 1,618.14 × 1,030.16
  4. Step 4: Simplify right side
    1,080.38x = 1,666,943.10
  5. Step 5: Solve for x
    x = 1,666,943.10/1,080.38
  6. Step 6: Final answer
    x = 1,542.92

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