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Finding the Fourth Proportional to 3,124.50, 4,688.25 and 1,663.68

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Solution

The fourth proportional to 3,124.50, 4,688.25 and 1,663.68 is: 2,496.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.50 : 4,688.25 = 1,663.68 : x
  2. Step 2: Convert to fraction form
    3,124.50/4,688.25 = 1,663.68/x
  3. Step 3: Cross multiply
    3,124.50x = 4,688.25 × 1,663.68
  4. Step 4: Simplify right side
    3,124.50x = 7,799,747.76
  5. Step 5: Solve for x
    x = 7,799,747.76/3,124.50
  6. Step 6: Final answer
    x = 2,496.32

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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.