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Finding the Fourth Proportional to 2,291.31, 3,437.82 and 830.57

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Solution

The fourth proportional to 2,291.31, 3,437.82 and 830.57 is: 1,246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.31 : 3,437.82 = 830.57 : x
  2. Step 2: Convert to fraction form
    2,291.31/3,437.82 = 830.57/x
  3. Step 3: Cross multiply
    2,291.31x = 3,437.82 × 830.57
  4. Step 4: Simplify right side
    2,291.31x = 2,855,332.97
  5. Step 5: Solve for x
    x = 2,855,332.97/2,291.31
  6. Step 6: Final answer
    x = 1,246.16

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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.