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Finding the Fourth Proportional to 1,792.74, 2,689.14 and 818.76

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Solution

The fourth proportional to 1,792.74, 2,689.14 and 818.76 is: 1,228.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.74 : 2,689.14 = 818.76 : x
  2. Step 2: Convert to fraction form
    1,792.74/2,689.14 = 818.76/x
  3. Step 3: Cross multiply
    1,792.74x = 2,689.14 × 818.76
  4. Step 4: Simplify right side
    1,792.74x = 2,201,760.27
  5. Step 5: Solve for x
    x = 2,201,760.27/1,792.74
  6. Step 6: Final answer
    x = 1,228.15

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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.