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Finding the Fourth Proportional to 1,695.48, 2,545.65 and 1,044.24

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Solution

The fourth proportional to 1,695.48, 2,545.65 and 1,044.24 is: 1,567.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.48 : 2,545.65 = 1,044.24 : x
  2. Step 2: Convert to fraction form
    1,695.48/2,545.65 = 1,044.24/x
  3. Step 3: Cross multiply
    1,695.48x = 2,545.65 × 1,044.24
  4. Step 4: Simplify right side
    1,695.48x = 2,658,269.56
  5. Step 5: Solve for x
    x = 2,658,269.56/1,695.48
  6. Step 6: Final answer
    x = 1,567.86

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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.