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Finding the Fourth Proportional to 1,677, 2,513.70 and 853.44

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Solution

The fourth proportional to 1,677, 2,513.70 and 853.44 is: 1,279.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677 : 2,513.70 = 853.44 : x
  2. Step 2: Convert to fraction form
    1,677/2,513.70 = 853.44/x
  3. Step 3: Cross multiply
    1,677x = 2,513.70 × 853.44
  4. Step 4: Simplify right side
    1,677x = 2,145,292.13
  5. Step 5: Solve for x
    x = 2,145,292.13/1,677
  6. Step 6: Final answer
    x = 1,279.24

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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.