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Finding the Fourth Proportional to 2,948.38, 4,425 and 2,077.24

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Solution

The fourth proportional to 2,948.38, 4,425 and 2,077.24 is: 3,117.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.38 : 4,425 = 2,077.24 : x
  2. Step 2: Convert to fraction form
    2,948.38/4,425 = 2,077.24/x
  3. Step 3: Cross multiply
    2,948.38x = 4,425 × 2,077.24
  4. Step 4: Simplify right side
    2,948.38x = 9,191,787.00
  5. Step 5: Solve for x
    x = 9,191,787.00/2,948.38
  6. Step 6: Final answer
    x = 3,117.57

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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.