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Finding the Fourth Proportional to 1,677.41, 2,514.96 and 854.09

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Solution

The fourth proportional to 1,677.41, 2,514.96 and 854.09 is: 1,280.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.41 : 2,514.96 = 854.09 : x
  2. Step 2: Convert to fraction form
    1,677.41/2,514.96 = 854.09/x
  3. Step 3: Cross multiply
    1,677.41x = 2,514.96 × 854.09
  4. Step 4: Simplify right side
    1,677.41x = 2,148,002.19
  5. Step 5: Solve for x
    x = 2,148,002.19/1,677.41
  6. Step 6: Final answer
    x = 1,280.55

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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.