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Finding the Fourth Proportional to 3,123.44, 4,688 and 1,663.82

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Solution

The fourth proportional to 3,123.44, 4,688 and 1,663.82 is: 2,497.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.44 : 4,688 = 1,663.82 : x
  2. Step 2: Convert to fraction form
    3,123.44/4,688 = 1,663.82/x
  3. Step 3: Cross multiply
    3,123.44x = 4,688 × 1,663.82
  4. Step 4: Simplify right side
    3,123.44x = 7,799,988.16
  5. Step 5: Solve for x
    x = 7,799,988.16/3,123.44
  6. Step 6: Final answer
    x = 2,497.24

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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.