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Finding the Fourth Proportional to 2,732.64, 4,099.68 and 784.86

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Solution

The fourth proportional to 2,732.64, 4,099.68 and 784.86 is: 1,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.64 : 4,099.68 = 784.86 : x
  2. Step 2: Convert to fraction form
    2,732.64/4,099.68 = 784.86/x
  3. Step 3: Cross multiply
    2,732.64x = 4,099.68 × 784.86
  4. Step 4: Simplify right side
    2,732.64x = 3,217,674.84
  5. Step 5: Solve for x
    x = 3,217,674.84/2,732.64
  6. Step 6: Final answer
    x = 1,177.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.