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Finding the Fourth Proportional to 2,348.98, 3,524.25 and 1,116.25

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Solution

The fourth proportional to 2,348.98, 3,524.25 and 1,116.25 is: 1,674.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.98 : 3,524.25 = 1,116.25 : x
  2. Step 2: Convert to fraction form
    2,348.98/3,524.25 = 1,116.25/x
  3. Step 3: Cross multiply
    2,348.98x = 3,524.25 × 1,116.25
  4. Step 4: Simplify right side
    2,348.98x = 3,933,944.06
  5. Step 5: Solve for x
    x = 3,933,944.06/2,348.98
  6. Step 6: Final answer
    x = 1,674.75

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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.