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Finding the Fourth Proportional to 3,290.96, 4,927.26 and 2,248.76

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Solution

The fourth proportional to 3,290.96, 4,927.26 and 2,248.76 is: 3,366.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.96 : 4,927.26 = 2,248.76 : x
  2. Step 2: Convert to fraction form
    3,290.96/4,927.26 = 2,248.76/x
  3. Step 3: Cross multiply
    3,290.96x = 4,927.26 × 2,248.76
  4. Step 4: Simplify right side
    3,290.96x = 11,080,225.20
  5. Step 5: Solve for x
    x = 11,080,225.20/3,290.96
  6. Step 6: Final answer
    x = 3,366.87

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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.