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Finding the Fourth Proportional to 3,141.72, 4,689.41 and 2,881.98

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Solution

The fourth proportional to 3,141.72, 4,689.41 and 2,881.98 is: 4,301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.72 : 4,689.41 = 2,881.98 : x
  2. Step 2: Convert to fraction form
    3,141.72/4,689.41 = 2,881.98/x
  3. Step 3: Cross multiply
    3,141.72x = 4,689.41 × 2,881.98
  4. Step 4: Simplify right side
    3,141.72x = 13,514,771.42
  5. Step 5: Solve for x
    x = 13,514,771.42/3,141.72
  6. Step 6: Final answer
    x = 4,301.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.