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Finding the Fourth Proportional to 2,339.31, 3,498.63 and 2,081.12

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Solution

The fourth proportional to 2,339.31, 3,498.63 and 2,081.12 is: 3,112.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.31 : 3,498.63 = 2,081.12 : x
  2. Step 2: Convert to fraction form
    2,339.31/3,498.63 = 2,081.12/x
  3. Step 3: Cross multiply
    2,339.31x = 3,498.63 × 2,081.12
  4. Step 4: Simplify right side
    2,339.31x = 7,281,068.87
  5. Step 5: Solve for x
    x = 7,281,068.87/2,339.31
  6. Step 6: Final answer
    x = 3,112.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.