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Finding the Fourth Proportional to 2,948.91, 4,423.56 and 1,099.98

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Solution

The fourth proportional to 2,948.91, 4,423.56 and 1,099.98 is: 1,650.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.91 : 4,423.56 = 1,099.98 : x
  2. Step 2: Convert to fraction form
    2,948.91/4,423.56 = 1,099.98/x
  3. Step 3: Cross multiply
    2,948.91x = 4,423.56 × 1,099.98
  4. Step 4: Simplify right side
    2,948.91x = 4,865,827.53
  5. Step 5: Solve for x
    x = 4,865,827.53/2,948.91
  6. Step 6: Final answer
    x = 1,650.04

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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.