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Finding the Fourth Proportional to 3,006.86, 4,149.64 and 1,680.69

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Solution

The fourth proportional to 3,006.86, 4,149.64 and 1,680.69 is: 2,319.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.86 : 4,149.64 = 1,680.69 : x
  2. Step 2: Convert to fraction form
    3,006.86/4,149.64 = 1,680.69/x
  3. Step 3: Cross multiply
    3,006.86x = 4,149.64 × 1,680.69
  4. Step 4: Simplify right side
    3,006.86x = 6,974,258.45
  5. Step 5: Solve for x
    x = 6,974,258.45/3,006.86
  6. Step 6: Final answer
    x = 2,319.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.