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Finding the Fourth Proportional to 2,439.14, 3,659.25 and 707.90

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Solution

The fourth proportional to 2,439.14, 3,659.25 and 707.90 is: 1,062.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.14 : 3,659.25 = 707.90 : x
  2. Step 2: Convert to fraction form
    2,439.14/3,659.25 = 707.90/x
  3. Step 3: Cross multiply
    2,439.14x = 3,659.25 × 707.90
  4. Step 4: Simplify right side
    2,439.14x = 2,590,383.08
  5. Step 5: Solve for x
    x = 2,590,383.08/2,439.14
  6. Step 6: Final answer
    x = 1,062.01

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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.