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Finding the Fourth Proportional to 2,947.68, 4,071.60 and 2,561.76

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Solution

The fourth proportional to 2,947.68, 4,071.60 and 2,561.76 is: 3,538.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.68 : 4,071.60 = 2,561.76 : x
  2. Step 2: Convert to fraction form
    2,947.68/4,071.60 = 2,561.76/x
  3. Step 3: Cross multiply
    2,947.68x = 4,071.60 × 2,561.76
  4. Step 4: Simplify right side
    2,947.68x = 10,430,462.02
  5. Step 5: Solve for x
    x = 10,430,462.02/2,947.68
  6. Step 6: Final answer
    x = 3,538.53

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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.