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Finding the Fourth Proportional to 2,986.59, 4,479.89 and 906.61

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Solution

The fourth proportional to 2,986.59, 4,479.89 and 906.61 is: 1,359.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.59 : 4,479.89 = 906.61 : x
  2. Step 2: Convert to fraction form
    2,986.59/4,479.89 = 906.61/x
  3. Step 3: Cross multiply
    2,986.59x = 4,479.89 × 906.61
  4. Step 4: Simplify right side
    2,986.59x = 4,061,510.84
  5. Step 5: Solve for x
    x = 4,061,510.84/2,986.59
  6. Step 6: Final answer
    x = 1,359.92

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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.