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Finding the Fourth Proportional to 3,122.69, 4,686.87 and 1,663.07

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Solution

The fourth proportional to 3,122.69, 4,686.87 and 1,663.07 is: 2,496.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.69 : 4,686.87 = 1,663.07 : x
  2. Step 2: Convert to fraction form
    3,122.69/4,686.87 = 1,663.07/x
  3. Step 3: Cross multiply
    3,122.69x = 4,686.87 × 1,663.07
  4. Step 4: Simplify right side
    3,122.69x = 7,794,592.89
  5. Step 5: Solve for x
    x = 7,794,592.89/3,122.69
  6. Step 6: Final answer
    x = 2,496.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.