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Finding the Fourth Proportional to 2,287.50, 3,155.94 and 1,402.38

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Solution

The fourth proportional to 2,287.50, 3,155.94 and 1,402.38 is: 1,934.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.50 : 3,155.94 = 1,402.38 : x
  2. Step 2: Convert to fraction form
    2,287.50/3,155.94 = 1,402.38/x
  3. Step 3: Cross multiply
    2,287.50x = 3,155.94 × 1,402.38
  4. Step 4: Simplify right side
    2,287.50x = 4,425,827.14
  5. Step 5: Solve for x
    x = 4,425,827.14/2,287.50
  6. Step 6: Final answer
    x = 1,934.79

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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.