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Finding the Fourth Proportional to 1,689.48, 2,331.44 and 1,098.90

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Solution

The fourth proportional to 1,689.48, 2,331.44 and 1,098.90 is: 1,516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.48 : 2,331.44 = 1,098.90 : x
  2. Step 2: Convert to fraction form
    1,689.48/2,331.44 = 1,098.90/x
  3. Step 3: Cross multiply
    1,689.48x = 2,331.44 × 1,098.90
  4. Step 4: Simplify right side
    1,689.48x = 2,562,019.42
  5. Step 5: Solve for x
    x = 2,562,019.42/1,689.48
  6. Step 6: Final answer
    x = 1,516.45

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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.