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Finding the Fourth Proportional to 2,947.60, 4,419.24 and 1,559.80

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Solution

The fourth proportional to 2,947.60, 4,419.24 and 1,559.80 is: 2,338.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.60 : 4,419.24 = 1,559.80 : x
  2. Step 2: Convert to fraction form
    2,947.60/4,419.24 = 1,559.80/x
  3. Step 3: Cross multiply
    2,947.60x = 4,419.24 × 1,559.80
  4. Step 4: Simplify right side
    2,947.60x = 6,893,130.55
  5. Step 5: Solve for x
    x = 6,893,130.55/2,947.60
  6. Step 6: Final answer
    x = 2,338.56

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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.