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Finding the Fourth Proportional to 2,348.71, 3,523.06 and 1,909.44

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Solution

The fourth proportional to 2,348.71, 3,523.06 and 1,909.44 is: 2,864.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.71 : 3,523.06 = 1,909.44 : x
  2. Step 2: Convert to fraction form
    2,348.71/3,523.06 = 1,909.44/x
  3. Step 3: Cross multiply
    2,348.71x = 3,523.06 × 1,909.44
  4. Step 4: Simplify right side
    2,348.71x = 6,727,071.69
  5. Step 5: Solve for x
    x = 6,727,071.69/2,348.71
  6. Step 6: Final answer
    x = 2,864.16

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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.