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Finding the Fourth Proportional to 2,439.19, 3,659.39 and 707.82

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Solution

The fourth proportional to 2,439.19, 3,659.39 and 707.82 is: 1,061.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.19 : 3,659.39 = 707.82 : x
  2. Step 2: Convert to fraction form
    2,439.19/3,659.39 = 707.82/x
  3. Step 3: Cross multiply
    2,439.19x = 3,659.39 × 707.82
  4. Step 4: Simplify right side
    2,439.19x = 2,590,189.43
  5. Step 5: Solve for x
    x = 2,590,189.43/2,439.19
  6. Step 6: Final answer
    x = 1,061.91

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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.