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Finding the Fourth Proportional to 1,677.64, 2,516.94 and 812.44

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Solution

The fourth proportional to 1,677.64, 2,516.94 and 812.44 is: 1,218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.64 : 2,516.94 = 812.44 : x
  2. Step 2: Convert to fraction form
    1,677.64/2,516.94 = 812.44/x
  3. Step 3: Cross multiply
    1,677.64x = 2,516.94 × 812.44
  4. Step 4: Simplify right side
    1,677.64x = 2,044,862.73
  5. Step 5: Solve for x
    x = 2,044,862.73/1,677.64
  6. Step 6: Final answer
    x = 1,218.89

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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.