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Finding the Fourth Proportional to 2,381.58, 3,285.90 and 1,987.92

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Solution

The fourth proportional to 2,381.58, 3,285.90 and 1,987.92 is: 2,742.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.58 : 3,285.90 = 1,987.92 : x
  2. Step 2: Convert to fraction form
    2,381.58/3,285.90 = 1,987.92/x
  3. Step 3: Cross multiply
    2,381.58x = 3,285.90 × 1,987.92
  4. Step 4: Simplify right side
    2,381.58x = 6,532,106.33
  5. Step 5: Solve for x
    x = 6,532,106.33/2,381.58
  6. Step 6: Final answer
    x = 2,742.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.