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Finding the Fourth Proportional to 1,874.90, 2,588.47 and 1,286.30

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Solution

The fourth proportional to 1,874.90, 2,588.47 and 1,286.30 is: 1,775.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.90 : 2,588.47 = 1,286.30 : x
  2. Step 2: Convert to fraction form
    1,874.90/2,588.47 = 1,286.30/x
  3. Step 3: Cross multiply
    1,874.90x = 2,588.47 × 1,286.30
  4. Step 4: Simplify right side
    1,874.90x = 3,329,536.06
  5. Step 5: Solve for x
    x = 3,329,536.06/1,874.90
  6. Step 6: Final answer
    x = 1,775.85

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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.