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Finding the Fourth Proportional to 2,294.10, 3,437.10 and 2,148.30

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Solution

The fourth proportional to 2,294.10, 3,437.10 and 2,148.30 is: 3,218.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.10 : 3,437.10 = 2,148.30 : x
  2. Step 2: Convert to fraction form
    2,294.10/3,437.10 = 2,148.30/x
  3. Step 3: Cross multiply
    2,294.10x = 3,437.10 × 2,148.30
  4. Step 4: Simplify right side
    2,294.10x = 7,383,921.93
  5. Step 5: Solve for x
    x = 7,383,921.93/2,294.10
  6. Step 6: Final answer
    x = 3,218.66

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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.