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Finding the Fourth Proportional to 2,587.58, 3,878.18 and 1,199.04

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Solution

The fourth proportional to 2,587.58, 3,878.18 and 1,199.04 is: 1,797.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.58 : 3,878.18 = 1,199.04 : x
  2. Step 2: Convert to fraction form
    2,587.58/3,878.18 = 1,199.04/x
  3. Step 3: Cross multiply
    2,587.58x = 3,878.18 × 1,199.04
  4. Step 4: Simplify right side
    2,587.58x = 4,650,073.56
  5. Step 5: Solve for x
    x = 4,650,073.56/2,587.58
  6. Step 6: Final answer
    x = 1,797.07

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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.