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Finding the Fourth Proportional to 2,348.44, 3,524.82 and 1,116.70

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Solution

The fourth proportional to 2,348.44, 3,524.82 and 1,116.70 is: 1,676.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.44 : 3,524.82 = 1,116.70 : x
  2. Step 2: Convert to fraction form
    2,348.44/3,524.82 = 1,116.70/x
  3. Step 3: Cross multiply
    2,348.44x = 3,524.82 × 1,116.70
  4. Step 4: Simplify right side
    2,348.44x = 3,936,166.49
  5. Step 5: Solve for x
    x = 3,936,166.49/2,348.44
  6. Step 6: Final answer
    x = 1,676.08

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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.