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Finding the Fourth Proportional to 3,170.46, 4,376.70 and 2,262.66

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Solution

The fourth proportional to 3,170.46, 4,376.70 and 2,262.66 is: 3,123.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.46 : 4,376.70 = 2,262.66 : x
  2. Step 2: Convert to fraction form
    3,170.46/4,376.70 = 2,262.66/x
  3. Step 3: Cross multiply
    3,170.46x = 4,376.70 × 2,262.66
  4. Step 4: Simplify right side
    3,170.46x = 9,902,984.02
  5. Step 5: Solve for x
    x = 9,902,984.02/3,170.46
  6. Step 6: Final answer
    x = 3,123.52

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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.