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Finding the Fourth Proportional to 2,344.40, 3,239.88 and 1,924.10

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Solution

The fourth proportional to 2,344.40, 3,239.88 and 1,924.10 is: 2,659.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.40 : 3,239.88 = 1,924.10 : x
  2. Step 2: Convert to fraction form
    2,344.40/3,239.88 = 1,924.10/x
  3. Step 3: Cross multiply
    2,344.40x = 3,239.88 × 1,924.10
  4. Step 4: Simplify right side
    2,344.40x = 6,233,853.11
  5. Step 5: Solve for x
    x = 6,233,853.11/2,344.40
  6. Step 6: Final answer
    x = 2,659.04

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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.