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Finding the Fourth Proportional to 3,166.02, 4,370.70 and 2,283.90

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Solution

The fourth proportional to 3,166.02, 4,370.70 and 2,283.90 is: 3,152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.02 : 4,370.70 = 2,283.90 : x
  2. Step 2: Convert to fraction form
    3,166.02/4,370.70 = 2,283.90/x
  3. Step 3: Cross multiply
    3,166.02x = 4,370.70 × 2,283.90
  4. Step 4: Simplify right side
    3,166.02x = 9,982,241.73
  5. Step 5: Solve for x
    x = 9,982,241.73/3,166.02
  6. Step 6: Final answer
    x = 3,152.93

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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.