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Finding the Fourth Proportional to 2,031.71, 3,046.34 and 861.53

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Solution

The fourth proportional to 2,031.71, 3,046.34 and 861.53 is: 1,291.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.71 : 3,046.34 = 861.53 : x
  2. Step 2: Convert to fraction form
    2,031.71/3,046.34 = 861.53/x
  3. Step 3: Cross multiply
    2,031.71x = 3,046.34 × 861.53
  4. Step 4: Simplify right side
    2,031.71x = 2,624,493.76
  5. Step 5: Solve for x
    x = 2,624,493.76/2,031.71
  6. Step 6: Final answer
    x = 1,291.77

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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.