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Finding the Fourth Proportional to 2,354.84, 3,249.13 and 1,359.93

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Solution

The fourth proportional to 2,354.84, 3,249.13 and 1,359.93 is: 1,876.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.84 : 3,249.13 = 1,359.93 : x
  2. Step 2: Convert to fraction form
    2,354.84/3,249.13 = 1,359.93/x
  3. Step 3: Cross multiply
    2,354.84x = 3,249.13 × 1,359.93
  4. Step 4: Simplify right side
    2,354.84x = 4,418,585.96
  5. Step 5: Solve for x
    x = 4,418,585.96/2,354.84
  6. Step 6: Final answer
    x = 1,876.39

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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.