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Finding the Fourth Proportional to 2,304.59, 3,456.86 and 661.14

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Solution

The fourth proportional to 2,304.59, 3,456.86 and 661.14 is: 991.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.59 : 3,456.86 = 661.14 : x
  2. Step 2: Convert to fraction form
    2,304.59/3,456.86 = 661.14/x
  3. Step 3: Cross multiply
    2,304.59x = 3,456.86 × 661.14
  4. Step 4: Simplify right side
    2,304.59x = 2,285,468.42
  5. Step 5: Solve for x
    x = 2,285,468.42/2,304.59
  6. Step 6: Final answer
    x = 991.70

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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.