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Finding the Fourth Proportional to 2,975.60, 4,467.76 and 2,052.56

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Solution

The fourth proportional to 2,975.60, 4,467.76 and 2,052.56 is: 3,081.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.60 : 4,467.76 = 2,052.56 : x
  2. Step 2: Convert to fraction form
    2,975.60/4,467.76 = 2,052.56/x
  3. Step 3: Cross multiply
    2,975.60x = 4,467.76 × 2,052.56
  4. Step 4: Simplify right side
    2,975.60x = 9,170,345.47
  5. Step 5: Solve for x
    x = 9,170,345.47/2,975.60
  6. Step 6: Final answer
    x = 3,081.85

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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.