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Finding the Fourth Proportional to 7,314.80, 10,972.80 and 2,049.84

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Solution

The fourth proportional to 7,314.80, 10,972.80 and 2,049.84 is: 3,074.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.80 : 10,972.80 = 2,049.84 : x
  2. Step 2: Convert to fraction form
    7,314.80/10,972.80 = 2,049.84/x
  3. Step 3: Cross multiply
    7,314.80x = 10,972.80 × 2,049.84
  4. Step 4: Simplify right side
    7,314.80x = 22,492,484.35
  5. Step 5: Solve for x
    x = 22,492,484.35/7,314.80
  6. Step 6: Final answer
    x = 3,074.93

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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.