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Finding the Fourth Proportional to 2,871.56, 4,304.64 and 1,021.52

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Solution

The fourth proportional to 2,871.56, 4,304.64 and 1,021.52 is: 1,531.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.56 : 4,304.64 = 1,021.52 : x
  2. Step 2: Convert to fraction form
    2,871.56/4,304.64 = 1,021.52/x
  3. Step 3: Cross multiply
    2,871.56x = 4,304.64 × 1,021.52
  4. Step 4: Simplify right side
    2,871.56x = 4,397,275.85
  5. Step 5: Solve for x
    x = 4,397,275.85/2,871.56
  6. Step 6: Final answer
    x = 1,531.32

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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.