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Finding the Fourth Proportional to 2,766.72, 3,818.16 and 1,588.17

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Solution

The fourth proportional to 2,766.72, 3,818.16 and 1,588.17 is: 2,191.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.72 : 3,818.16 = 1,588.17 : x
  2. Step 2: Convert to fraction form
    2,766.72/3,818.16 = 1,588.17/x
  3. Step 3: Cross multiply
    2,766.72x = 3,818.16 × 1,588.17
  4. Step 4: Simplify right side
    2,766.72x = 6,063,887.17
  5. Step 5: Solve for x
    x = 6,063,887.17/2,766.72
  6. Step 6: Final answer
    x = 2,191.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.