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Finding the Fourth Proportional to 2,606.43, 3,909.65 and 1,909.47

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Solution

The fourth proportional to 2,606.43, 3,909.65 and 1,909.47 is: 2,864.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.43 : 3,909.65 = 1,909.47 : x
  2. Step 2: Convert to fraction form
    2,606.43/3,909.65 = 1,909.47/x
  3. Step 3: Cross multiply
    2,606.43x = 3,909.65 × 1,909.47
  4. Step 4: Simplify right side
    2,606.43x = 7,465,349.84
  5. Step 5: Solve for x
    x = 7,465,349.84/2,606.43
  6. Step 6: Final answer
    x = 2,864.21

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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.