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Finding the Fourth Proportional to 1,230.14, 1,841.88 and 864.38

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Solution

The fourth proportional to 1,230.14, 1,841.88 and 864.38 is: 1,294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.14 : 1,841.88 = 864.38 : x
  2. Step 2: Convert to fraction form
    1,230.14/1,841.88 = 864.38/x
  3. Step 3: Cross multiply
    1,230.14x = 1,841.88 × 864.38
  4. Step 4: Simplify right side
    1,230.14x = 1,592,084.23
  5. Step 5: Solve for x
    x = 1,592,084.23/1,230.14
  6. Step 6: Final answer
    x = 1,294.23

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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.