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Finding the Fourth Proportional to 1,677.66, 2,517.15 and 856.14

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Solution

The fourth proportional to 1,677.66, 2,517.15 and 856.14 is: 1,284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.66 : 2,517.15 = 856.14 : x
  2. Step 2: Convert to fraction form
    1,677.66/2,517.15 = 856.14/x
  3. Step 3: Cross multiply
    1,677.66x = 2,517.15 × 856.14
  4. Step 4: Simplify right side
    1,677.66x = 2,155,032.80
  5. Step 5: Solve for x
    x = 2,155,032.80/1,677.66
  6. Step 6: Final answer
    x = 1,284.55

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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.