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Finding the Fourth Proportional to 2,601.84, 3,903.40 and 1,987.44

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Solution

The fourth proportional to 2,601.84, 3,903.40 and 1,987.44 is: 2,981.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.84 : 3,903.40 = 1,987.44 : x
  2. Step 2: Convert to fraction form
    2,601.84/3,903.40 = 1,987.44/x
  3. Step 3: Cross multiply
    2,601.84x = 3,903.40 × 1,987.44
  4. Step 4: Simplify right side
    2,601.84x = 7,757,773.30
  5. Step 5: Solve for x
    x = 7,757,773.30/2,601.84
  6. Step 6: Final answer
    x = 2,981.65

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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.