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Finding the Fourth Proportional to 2,733.18, 4,099.32 and 784.95

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Solution

The fourth proportional to 2,733.18, 4,099.32 and 784.95 is: 1,177.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.18 : 4,099.32 = 784.95 : x
  2. Step 2: Convert to fraction form
    2,733.18/4,099.32 = 784.95/x
  3. Step 3: Cross multiply
    2,733.18x = 4,099.32 × 784.95
  4. Step 4: Simplify right side
    2,733.18x = 3,217,761.23
  5. Step 5: Solve for x
    x = 3,217,761.23/2,733.18
  6. Step 6: Final answer
    x = 1,177.30

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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.