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Finding the Fourth Proportional to 3,440.53, 4,747.53 and 1,948.46

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Solution

The fourth proportional to 3,440.53, 4,747.53 and 1,948.46 is: 2,688.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.53 : 4,747.53 = 1,948.46 : x
  2. Step 2: Convert to fraction form
    3,440.53/4,747.53 = 1,948.46/x
  3. Step 3: Cross multiply
    3,440.53x = 4,747.53 × 1,948.46
  4. Step 4: Simplify right side
    3,440.53x = 9,250,344.91
  5. Step 5: Solve for x
    x = 9,250,344.91/3,440.53
  6. Step 6: Final answer
    x = 2,688.64

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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.