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Finding the Fourth Proportional to 2,733.02, 4,098.33 and 784.78

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Solution

The fourth proportional to 2,733.02, 4,098.33 and 784.78 is: 1,176.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.02 : 4,098.33 = 784.78 : x
  2. Step 2: Convert to fraction form
    2,733.02/4,098.33 = 784.78/x
  3. Step 3: Cross multiply
    2,733.02x = 4,098.33 × 784.78
  4. Step 4: Simplify right side
    2,733.02x = 3,216,287.42
  5. Step 5: Solve for x
    x = 3,216,287.42/2,733.02
  6. Step 6: Final answer
    x = 1,176.83

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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.