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Finding the Fourth Proportional to 3,141.56, 4,332.95 and 2,301.96

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Solution

The fourth proportional to 3,141.56, 4,332.95 and 2,301.96 is: 3,174.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.56 : 4,332.95 = 2,301.96 : x
  2. Step 2: Convert to fraction form
    3,141.56/4,332.95 = 2,301.96/x
  3. Step 3: Cross multiply
    3,141.56x = 4,332.95 × 2,301.96
  4. Step 4: Simplify right side
    3,141.56x = 9,974,277.58
  5. Step 5: Solve for x
    x = 9,974,277.58/3,141.56
  6. Step 6: Final answer
    x = 3,174.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.