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Finding the Fourth Proportional to 2,352.82, 3,528.82 and 871.87

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Solution

The fourth proportional to 2,352.82, 3,528.82 and 871.87 is: 1,307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.82 : 3,528.82 = 871.87 : x
  2. Step 2: Convert to fraction form
    2,352.82/3,528.82 = 871.87/x
  3. Step 3: Cross multiply
    2,352.82x = 3,528.82 × 871.87
  4. Step 4: Simplify right side
    2,352.82x = 3,076,650.29
  5. Step 5: Solve for x
    x = 3,076,650.29/2,352.82
  6. Step 6: Final answer
    x = 1,307.65

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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.