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Finding the Fourth Proportional to 1,683.48, 2,520.90 and 1,032.24

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Solution

The fourth proportional to 1,683.48, 2,520.90 and 1,032.24 is: 1,545.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.48 : 2,520.90 = 1,032.24 : x
  2. Step 2: Convert to fraction form
    1,683.48/2,520.90 = 1,032.24/x
  3. Step 3: Cross multiply
    1,683.48x = 2,520.90 × 1,032.24
  4. Step 4: Simplify right side
    1,683.48x = 2,602,173.82
  5. Step 5: Solve for x
    x = 2,602,173.82/1,683.48
  6. Step 6: Final answer
    x = 1,545.71

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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.