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Finding the Fourth Proportional to 1,874.34, 2,587.19 and 1,286.58

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Solution

The fourth proportional to 1,874.34, 2,587.19 and 1,286.58 is: 1,775.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.34 : 2,587.19 = 1,286.58 : x
  2. Step 2: Convert to fraction form
    1,874.34/2,587.19 = 1,286.58/x
  3. Step 3: Cross multiply
    1,874.34x = 2,587.19 × 1,286.58
  4. Step 4: Simplify right side
    1,874.34x = 3,328,637.42
  5. Step 5: Solve for x
    x = 3,328,637.42/1,874.34
  6. Step 6: Final answer
    x = 1,775.90

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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.