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Finding the Fourth Proportional to 2,188.35, 3,020.22 and 1,304.10

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Solution

The fourth proportional to 2,188.35, 3,020.22 and 1,304.10 is: 1,799.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.35 : 3,020.22 = 1,304.10 : x
  2. Step 2: Convert to fraction form
    2,188.35/3,020.22 = 1,304.10/x
  3. Step 3: Cross multiply
    2,188.35x = 3,020.22 × 1,304.10
  4. Step 4: Simplify right side
    2,188.35x = 3,938,668.90
  5. Step 5: Solve for x
    x = 3,938,668.90/2,188.35
  6. Step 6: Final answer
    x = 1,799.83

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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.