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Finding the Fourth Proportional to 4,113.77, 6,169.62 and 1,615.46

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Solution

The fourth proportional to 4,113.77, 6,169.62 and 1,615.46 is: 2,422.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.77 : 6,169.62 = 1,615.46 : x
  2. Step 2: Convert to fraction form
    4,113.77/6,169.62 = 1,615.46/x
  3. Step 3: Cross multiply
    4,113.77x = 6,169.62 × 1,615.46
  4. Step 4: Simplify right side
    4,113.77x = 9,966,774.33
  5. Step 5: Solve for x
    x = 9,966,774.33/4,113.77
  6. Step 6: Final answer
    x = 2,422.78

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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.