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Finding the Fourth Proportional to 1,689.91, 2,530.31 and 1,103.46

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Solution

The fourth proportional to 1,689.91, 2,530.31 and 1,103.46 is: 1,652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.91 : 2,530.31 = 1,103.46 : x
  2. Step 2: Convert to fraction form
    1,689.91/2,530.31 = 1,103.46/x
  3. Step 3: Cross multiply
    1,689.91x = 2,530.31 × 1,103.46
  4. Step 4: Simplify right side
    1,689.91x = 2,792,100.85
  5. Step 5: Solve for x
    x = 2,792,100.85/1,689.91
  6. Step 6: Final answer
    x = 1,652.22

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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.