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Finding the Fourth Proportional to 2,129.11, 3,188.18 and 1,304.89

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Solution

The fourth proportional to 2,129.11, 3,188.18 and 1,304.89 is: 1,953.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.11 : 3,188.18 = 1,304.89 : x
  2. Step 2: Convert to fraction form
    2,129.11/3,188.18 = 1,304.89/x
  3. Step 3: Cross multiply
    2,129.11x = 3,188.18 × 1,304.89
  4. Step 4: Simplify right side
    2,129.11x = 4,160,219.49
  5. Step 5: Solve for x
    x = 4,160,219.49/2,129.11
  6. Step 6: Final answer
    x = 1,953.97

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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.