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Finding the Fourth Proportional to 1,695.43, 2,545.70 and 1,384.47

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Solution

The fourth proportional to 1,695.43, 2,545.70 and 1,384.47 is: 2,078.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.43 : 2,545.70 = 1,384.47 : x
  2. Step 2: Convert to fraction form
    1,695.43/2,545.70 = 1,384.47/x
  3. Step 3: Cross multiply
    1,695.43x = 2,545.70 × 1,384.47
  4. Step 4: Simplify right side
    1,695.43x = 3,524,442.88
  5. Step 5: Solve for x
    x = 3,524,442.88/1,695.43
  6. Step 6: Final answer
    x = 2,078.79

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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.