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Finding the Fourth Proportional to 2,932.07, 4,045.14 and 1,812.65

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Solution

The fourth proportional to 2,932.07, 4,045.14 and 1,812.65 is: 2,500.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.07 : 4,045.14 = 1,812.65 : x
  2. Step 2: Convert to fraction form
    2,932.07/4,045.14 = 1,812.65/x
  3. Step 3: Cross multiply
    2,932.07x = 4,045.14 × 1,812.65
  4. Step 4: Simplify right side
    2,932.07x = 7,332,402.80
  5. Step 5: Solve for x
    x = 7,332,402.80/2,932.07
  6. Step 6: Final answer
    x = 2,500.76

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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.