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Finding the Fourth Proportional to 2,587.21, 3,878.08 and 1,763.44

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Solution

The fourth proportional to 2,587.21, 3,878.08 and 1,763.44 is: 2,643.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.21 : 3,878.08 = 1,763.44 : x
  2. Step 2: Convert to fraction form
    2,587.21/3,878.08 = 1,763.44/x
  3. Step 3: Cross multiply
    2,587.21x = 3,878.08 × 1,763.44
  4. Step 4: Simplify right side
    2,587.21x = 6,838,747.29
  5. Step 5: Solve for x
    x = 6,838,747.29/2,587.21
  6. Step 6: Final answer
    x = 2,643.29

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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.