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Finding the Fourth Proportional to 2,314.12, 3,472.68 and 853.28

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Solution

The fourth proportional to 2,314.12, 3,472.68 and 853.28 is: 1,280.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.12 : 3,472.68 = 853.28 : x
  2. Step 2: Convert to fraction form
    2,314.12/3,472.68 = 853.28/x
  3. Step 3: Cross multiply
    2,314.12x = 3,472.68 × 853.28
  4. Step 4: Simplify right side
    2,314.12x = 2,963,168.39
  5. Step 5: Solve for x
    x = 2,963,168.39/2,314.12
  6. Step 6: Final answer
    x = 1,280.47

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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.