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Finding the Fourth Proportional to 1,618.19, 2,425.59 and 1,098.23

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Solution

The fourth proportional to 1,618.19, 2,425.59 and 1,098.23 is: 1,646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.19 : 2,425.59 = 1,098.23 : x
  2. Step 2: Convert to fraction form
    1,618.19/2,425.59 = 1,098.23/x
  3. Step 3: Cross multiply
    1,618.19x = 2,425.59 × 1,098.23
  4. Step 4: Simplify right side
    1,618.19x = 2,663,853.49
  5. Step 5: Solve for x
    x = 2,663,853.49/1,618.19
  6. Step 6: Final answer
    x = 1,646.20

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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.