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Finding the Fourth Proportional to 2,283.66, 3,423.42 and 1,462.14

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Solution

The fourth proportional to 2,283.66, 3,423.42 and 1,462.14 is: 2,191.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.66 : 3,423.42 = 1,462.14 : x
  2. Step 2: Convert to fraction form
    2,283.66/3,423.42 = 1,462.14/x
  3. Step 3: Cross multiply
    2,283.66x = 3,423.42 × 1,462.14
  4. Step 4: Simplify right side
    2,283.66x = 5,005,519.32
  5. Step 5: Solve for x
    x = 5,005,519.32/2,283.66
  6. Step 6: Final answer
    x = 2,191.88

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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.