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Finding the Fourth Proportional to 2,357.38, 3,250.65 and 1,472.86

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Solution

The fourth proportional to 2,357.38, 3,250.65 and 1,472.86 is: 2,030.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.38 : 3,250.65 = 1,472.86 : x
  2. Step 2: Convert to fraction form
    2,357.38/3,250.65 = 1,472.86/x
  3. Step 3: Cross multiply
    2,357.38x = 3,250.65 × 1,472.86
  4. Step 4: Simplify right side
    2,357.38x = 4,787,752.36
  5. Step 5: Solve for x
    x = 4,787,752.36/2,357.38
  6. Step 6: Final answer
    x = 2,030.96

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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.