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Finding the Fourth Proportional to 2,587.19, 3,881.06 and 944.09

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Solution

The fourth proportional to 2,587.19, 3,881.06 and 944.09 is: 1,416.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.19 : 3,881.06 = 944.09 : x
  2. Step 2: Convert to fraction form
    2,587.19/3,881.06 = 944.09/x
  3. Step 3: Cross multiply
    2,587.19x = 3,881.06 × 944.09
  4. Step 4: Simplify right side
    2,587.19x = 3,664,067.44
  5. Step 5: Solve for x
    x = 3,664,067.44/2,587.19
  6. Step 6: Final answer
    x = 1,416.24

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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.