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Finding the Fourth Proportional to 2,947.68, 4,421.75 and 972.54

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Solution

The fourth proportional to 2,947.68, 4,421.75 and 972.54 is: 1,458.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.68 : 4,421.75 = 972.54 : x
  2. Step 2: Convert to fraction form
    2,947.68/4,421.75 = 972.54/x
  3. Step 3: Cross multiply
    2,947.68x = 4,421.75 × 972.54
  4. Step 4: Simplify right side
    2,947.68x = 4,300,323.88
  5. Step 5: Solve for x
    x = 4,300,323.88/2,947.68
  6. Step 6: Final answer
    x = 1,458.88

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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.