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Finding the Fourth Proportional to 2,132.35, 3,198.27 and 572.47

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Solution

The fourth proportional to 2,132.35, 3,198.27 and 572.47 is: 858.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.35 : 3,198.27 = 572.47 : x
  2. Step 2: Convert to fraction form
    2,132.35/3,198.27 = 572.47/x
  3. Step 3: Cross multiply
    2,132.35x = 3,198.27 × 572.47
  4. Step 4: Simplify right side
    2,132.35x = 1,830,913.63
  5. Step 5: Solve for x
    x = 1,830,913.63/2,132.35
  6. Step 6: Final answer
    x = 858.64

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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.