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Finding the Fourth Proportional to 2,967.88, 4,452.60 and 1,020.16

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Solution

The fourth proportional to 2,967.88, 4,452.60 and 1,020.16 is: 1,530.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.88 : 4,452.60 = 1,020.16 : x
  2. Step 2: Convert to fraction form
    2,967.88/4,452.60 = 1,020.16/x
  3. Step 3: Cross multiply
    2,967.88x = 4,452.60 × 1,020.16
  4. Step 4: Simplify right side
    2,967.88x = 4,542,364.42
  5. Step 5: Solve for x
    x = 4,542,364.42/2,967.88
  6. Step 6: Final answer
    x = 1,530.51

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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.