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Finding the Fourth Proportional to 1,864.66, 2,793.76 and 1,132.70

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Solution

The fourth proportional to 1,864.66, 2,793.76 and 1,132.70 is: 1,697.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.66 : 2,793.76 = 1,132.70 : x
  2. Step 2: Convert to fraction form
    1,864.66/2,793.76 = 1,132.70/x
  3. Step 3: Cross multiply
    1,864.66x = 2,793.76 × 1,132.70
  4. Step 4: Simplify right side
    1,864.66x = 3,164,491.95
  5. Step 5: Solve for x
    x = 3,164,491.95/1,864.66
  6. Step 6: Final answer
    x = 1,697.09

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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.