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Finding the Fourth Proportional to 2,291.82, 3,437.76 and 560.46

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Solution

The fourth proportional to 2,291.82, 3,437.76 and 560.46 is: 840.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.82 : 3,437.76 = 560.46 : x
  2. Step 2: Convert to fraction form
    2,291.82/3,437.76 = 560.46/x
  3. Step 3: Cross multiply
    2,291.82x = 3,437.76 × 560.46
  4. Step 4: Simplify right side
    2,291.82x = 1,926,726.97
  5. Step 5: Solve for x
    x = 1,926,726.97/2,291.82
  6. Step 6: Final answer
    x = 840.70

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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.