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Finding the Fourth Proportional to 2,846.78, 4,265.31 and 1,545.92

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Solution

The fourth proportional to 2,846.78, 4,265.31 and 1,545.92 is: 2,316.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.78 : 4,265.31 = 1,545.92 : x
  2. Step 2: Convert to fraction form
    2,846.78/4,265.31 = 1,545.92/x
  3. Step 3: Cross multiply
    2,846.78x = 4,265.31 × 1,545.92
  4. Step 4: Simplify right side
    2,846.78x = 6,593,828.04
  5. Step 5: Solve for x
    x = 6,593,828.04/2,846.78
  6. Step 6: Final answer
    x = 2,316.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.