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Finding the Fourth Proportional to 2,381.78, 3,287.06 and 1,387.15

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Solution

The fourth proportional to 2,381.78, 3,287.06 and 1,387.15 is: 1,914.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.78 : 3,287.06 = 1,387.15 : x
  2. Step 2: Convert to fraction form
    2,381.78/3,287.06 = 1,387.15/x
  3. Step 3: Cross multiply
    2,381.78x = 3,287.06 × 1,387.15
  4. Step 4: Simplify right side
    2,381.78x = 4,559,645.28
  5. Step 5: Solve for x
    x = 4,559,645.28/2,381.78
  6. Step 6: Final answer
    x = 1,914.39

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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.