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Finding the Fourth Proportional to 2,976.74, 4,098.54 and 2,527.66

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Solution

The fourth proportional to 2,976.74, 4,098.54 and 2,527.66 is: 3,480.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.74 : 4,098.54 = 2,527.66 : x
  2. Step 2: Convert to fraction form
    2,976.74/4,098.54 = 2,527.66/x
  3. Step 3: Cross multiply
    2,976.74x = 4,098.54 × 2,527.66
  4. Step 4: Simplify right side
    2,976.74x = 10,359,715.62
  5. Step 5: Solve for x
    x = 10,359,715.62/2,976.74
  6. Step 6: Final answer
    x = 3,480.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.