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Finding the Fourth Proportional to 3,146.98, 4,716 and 2,318.74

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Solution

The fourth proportional to 3,146.98, 4,716 and 2,318.74 is: 3,474.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.98 : 4,716 = 2,318.74 : x
  2. Step 2: Convert to fraction form
    3,146.98/4,716 = 2,318.74/x
  3. Step 3: Cross multiply
    3,146.98x = 4,716 × 2,318.74
  4. Step 4: Simplify right side
    3,146.98x = 10,935,177.84
  5. Step 5: Solve for x
    x = 10,935,177.84/3,146.98
  6. Step 6: Final answer
    x = 3,474.82

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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.