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Finding the Fourth Proportional to 3,007.82, 4,511.12 and 870.03

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Solution

The fourth proportional to 3,007.82, 4,511.12 and 870.03 is: 1,304.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.82 : 4,511.12 = 870.03 : x
  2. Step 2: Convert to fraction form
    3,007.82/4,511.12 = 870.03/x
  3. Step 3: Cross multiply
    3,007.82x = 4,511.12 × 870.03
  4. Step 4: Simplify right side
    3,007.82x = 3,924,805.38
  5. Step 5: Solve for x
    x = 3,924,805.38/3,007.82
  6. Step 6: Final answer
    x = 1,304.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.