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Finding the Fourth Proportional to 2,365.70, 3,542.79 and 1,593.86

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Solution

The fourth proportional to 2,365.70, 3,542.79 and 1,593.86 is: 2,386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.70 : 3,542.79 = 1,593.86 : x
  2. Step 2: Convert to fraction form
    2,365.70/3,542.79 = 1,593.86/x
  3. Step 3: Cross multiply
    2,365.70x = 3,542.79 × 1,593.86
  4. Step 4: Simplify right side
    2,365.70x = 5,646,711.27
  5. Step 5: Solve for x
    x = 5,646,711.27/2,365.70
  6. Step 6: Final answer
    x = 2,386.91

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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.