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Finding the Fourth Proportional to 3,073.86, 4,611.51 and 882.72

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Solution

The fourth proportional to 3,073.86, 4,611.51 and 882.72 is: 1,324.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.86 : 4,611.51 = 882.72 : x
  2. Step 2: Convert to fraction form
    3,073.86/4,611.51 = 882.72/x
  3. Step 3: Cross multiply
    3,073.86x = 4,611.51 × 882.72
  4. Step 4: Simplify right side
    3,073.86x = 4,070,672.11
  5. Step 5: Solve for x
    x = 4,070,672.11/3,073.86
  6. Step 6: Final answer
    x = 1,324.29

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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.