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Finding the Fourth Proportional to 2,690.76, 4,036.02 and 742.92

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Solution

The fourth proportional to 2,690.76, 4,036.02 and 742.92 is: 1,114.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.76 : 4,036.02 = 742.92 : x
  2. Step 2: Convert to fraction form
    2,690.76/4,036.02 = 742.92/x
  3. Step 3: Cross multiply
    2,690.76x = 4,036.02 × 742.92
  4. Step 4: Simplify right side
    2,690.76x = 2,998,439.98
  5. Step 5: Solve for x
    x = 2,998,439.98/2,690.76
  6. Step 6: Final answer
    x = 1,114.35

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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.