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Finding the Fourth Proportional to 2,545.52, 3,510.29 and 1,693.40

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Solution

The fourth proportional to 2,545.52, 3,510.29 and 1,693.40 is: 2,335.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.52 : 3,510.29 = 1,693.40 : x
  2. Step 2: Convert to fraction form
    2,545.52/3,510.29 = 1,693.40/x
  3. Step 3: Cross multiply
    2,545.52x = 3,510.29 × 1,693.40
  4. Step 4: Simplify right side
    2,545.52x = 5,944,299.07
  5. Step 5: Solve for x
    x = 5,944,299.07/2,545.52
  6. Step 6: Final answer
    x = 2,335.20

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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.