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Finding the Fourth Proportional to 2,984.88, 4,472.76 and 1,252.56

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Solution

The fourth proportional to 2,984.88, 4,472.76 and 1,252.56 is: 1,876.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.88 : 4,472.76 = 1,252.56 : x
  2. Step 2: Convert to fraction form
    2,984.88/4,472.76 = 1,252.56/x
  3. Step 3: Cross multiply
    2,984.88x = 4,472.76 × 1,252.56
  4. Step 4: Simplify right side
    2,984.88x = 5,602,400.27
  5. Step 5: Solve for x
    x = 5,602,400.27/2,984.88
  6. Step 6: Final answer
    x = 1,876.93

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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.