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Finding the Fourth Proportional to 1,808.78, 2,711.93 and 1,151.15

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Solution

The fourth proportional to 1,808.78, 2,711.93 and 1,151.15 is: 1,725.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.78 : 2,711.93 = 1,151.15 : x
  2. Step 2: Convert to fraction form
    1,808.78/2,711.93 = 1,151.15/x
  3. Step 3: Cross multiply
    1,808.78x = 2,711.93 × 1,151.15
  4. Step 4: Simplify right side
    1,808.78x = 3,121,818.90
  5. Step 5: Solve for x
    x = 3,121,818.90/1,808.78
  6. Step 6: Final answer
    x = 1,725.93

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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.