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Finding the Fourth Proportional to 2,701.98, 4,053.18 and 853.24

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Solution

The fourth proportional to 2,701.98, 4,053.18 and 853.24 is: 1,279.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.98 : 4,053.18 = 853.24 : x
  2. Step 2: Convert to fraction form
    2,701.98/4,053.18 = 853.24/x
  3. Step 3: Cross multiply
    2,701.98x = 4,053.18 × 853.24
  4. Step 4: Simplify right side
    2,701.98x = 3,458,328.37
  5. Step 5: Solve for x
    x = 3,458,328.37/2,701.98
  6. Step 6: Final answer
    x = 1,279.92

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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.