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Finding the Fourth Proportional to 1,388.82, 2,085.45 and 869.88

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Solution

The fourth proportional to 1,388.82, 2,085.45 and 869.88 is: 1,306.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.82 : 2,085.45 = 869.88 : x
  2. Step 2: Convert to fraction form
    1,388.82/2,085.45 = 869.88/x
  3. Step 3: Cross multiply
    1,388.82x = 2,085.45 × 869.88
  4. Step 4: Simplify right side
    1,388.82x = 1,814,091.25
  5. Step 5: Solve for x
    x = 1,814,091.25/1,388.82
  6. Step 6: Final answer
    x = 1,306.21

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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.