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Finding the Fourth Proportional to 2,741.04, 4,103.46 and 2,587.14

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Solution

The fourth proportional to 2,741.04, 4,103.46 and 2,587.14 is: 3,873.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.04 : 4,103.46 = 2,587.14 : x
  2. Step 2: Convert to fraction form
    2,741.04/4,103.46 = 2,587.14/x
  3. Step 3: Cross multiply
    2,741.04x = 4,103.46 × 2,587.14
  4. Step 4: Simplify right side
    2,741.04x = 10,616,225.50
  5. Step 5: Solve for x
    x = 10,616,225.50/2,741.04
  6. Step 6: Final answer
    x = 3,873.06

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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.