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Finding the Fourth Proportional to 3,490.61, 4,817.89 and 2,146.55

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Solution

The fourth proportional to 3,490.61, 4,817.89 and 2,146.55 is: 2,962.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.61 : 4,817.89 = 2,146.55 : x
  2. Step 2: Convert to fraction form
    3,490.61/4,817.89 = 2,146.55/x
  3. Step 3: Cross multiply
    3,490.61x = 4,817.89 × 2,146.55
  4. Step 4: Simplify right side
    3,490.61x = 10,341,838.44
  5. Step 5: Solve for x
    x = 10,341,838.44/3,490.61
  6. Step 6: Final answer
    x = 2,962.76

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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.