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Finding the Fourth Proportional to 2,947.44, 4,071.04 and 2,149.50

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Solution

The fourth proportional to 2,947.44, 4,071.04 and 2,149.50 is: 2,968.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.44 : 4,071.04 = 2,149.50 : x
  2. Step 2: Convert to fraction form
    2,947.44/4,071.04 = 2,149.50/x
  3. Step 3: Cross multiply
    2,947.44x = 4,071.04 × 2,149.50
  4. Step 4: Simplify right side
    2,947.44x = 8,750,700.48
  5. Step 5: Solve for x
    x = 8,750,700.48/2,947.44
  6. Step 6: Final answer
    x = 2,968.92

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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.