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Finding the Fourth Proportional to 1,545.38, 2,128.02 and 1,324.16

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Solution

The fourth proportional to 1,545.38, 2,128.02 and 1,324.16 is: 1,823.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.38 : 2,128.02 = 1,324.16 : x
  2. Step 2: Convert to fraction form
    1,545.38/2,128.02 = 1,324.16/x
  3. Step 3: Cross multiply
    1,545.38x = 2,128.02 × 1,324.16
  4. Step 4: Simplify right side
    1,545.38x = 2,817,838.96
  5. Step 5: Solve for x
    x = 2,817,838.96/1,545.38
  6. Step 6: Final answer
    x = 1,823.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.