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Finding the Fourth Proportional to 2,042.55, 3,063.32 and 871.98

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Solution

The fourth proportional to 2,042.55, 3,063.32 and 871.98 is: 1,307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.55 : 3,063.32 = 871.98 : x
  2. Step 2: Convert to fraction form
    2,042.55/3,063.32 = 871.98/x
  3. Step 3: Cross multiply
    2,042.55x = 3,063.32 × 871.98
  4. Step 4: Simplify right side
    2,042.55x = 2,671,153.77
  5. Step 5: Solve for x
    x = 2,671,153.77/2,042.55
  6. Step 6: Final answer
    x = 1,307.75

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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.