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Finding the Fourth Proportional to 2,402.62, 3,607.26 and 1,909.33

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Solution

The fourth proportional to 2,402.62, 3,607.26 and 1,909.33 is: 2,866.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.62 : 3,607.26 = 1,909.33 : x
  2. Step 2: Convert to fraction form
    2,402.62/3,607.26 = 1,909.33/x
  3. Step 3: Cross multiply
    2,402.62x = 3,607.26 × 1,909.33
  4. Step 4: Simplify right side
    2,402.62x = 6,887,449.74
  5. Step 5: Solve for x
    x = 6,887,449.74/2,402.62
  6. Step 6: Final answer
    x = 2,866.64

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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.