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Finding the Fourth Proportional to 2,342.52, 3,514.86 and 1,189.08

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Solution

The fourth proportional to 2,342.52, 3,514.86 and 1,189.08 is: 1,784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.52 : 3,514.86 = 1,189.08 : x
  2. Step 2: Convert to fraction form
    2,342.52/3,514.86 = 1,189.08/x
  3. Step 3: Cross multiply
    2,342.52x = 3,514.86 × 1,189.08
  4. Step 4: Simplify right side
    2,342.52x = 4,179,449.73
  5. Step 5: Solve for x
    x = 4,179,449.73/2,342.52
  6. Step 6: Final answer
    x = 1,784.17

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