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Finding the Fourth Proportional to 2,732.60, 4,099.02 and 784.76

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Solution

The fourth proportional to 2,732.60, 4,099.02 and 784.76 is: 1,177.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.60 : 4,099.02 = 784.76 : x
  2. Step 2: Convert to fraction form
    2,732.60/4,099.02 = 784.76/x
  3. Step 3: Cross multiply
    2,732.60x = 4,099.02 × 784.76
  4. Step 4: Simplify right side
    2,732.60x = 3,216,746.94
  5. Step 5: Solve for x
    x = 3,216,746.94/2,732.60
  6. Step 6: Final answer
    x = 1,177.17

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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.