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Finding the Fourth Proportional to 2,645.98, 3,970.85 and 1,087.40

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Solution

The fourth proportional to 2,645.98, 3,970.85 and 1,087.40 is: 1,631.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.98 : 3,970.85 = 1,087.40 : x
  2. Step 2: Convert to fraction form
    2,645.98/3,970.85 = 1,087.40/x
  3. Step 3: Cross multiply
    2,645.98x = 3,970.85 × 1,087.40
  4. Step 4: Simplify right side
    2,645.98x = 4,317,884.44
  5. Step 5: Solve for x
    x = 4,317,884.44/2,645.98
  6. Step 6: Final answer
    x = 1,631.87

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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.