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Finding the Fourth Proportional to 3,401.61, 4,693.05 and 1,909.32

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Solution

The fourth proportional to 3,401.61, 4,693.05 and 1,909.32 is: 2,634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.61 : 4,693.05 = 1,909.32 : x
  2. Step 2: Convert to fraction form
    3,401.61/4,693.05 = 1,909.32/x
  3. Step 3: Cross multiply
    3,401.61x = 4,693.05 × 1,909.32
  4. Step 4: Simplify right side
    3,401.61x = 8,960,534.23
  5. Step 5: Solve for x
    x = 8,960,534.23/3,401.61
  6. Step 6: Final answer
    x = 2,634.20

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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.