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Finding the Fourth Proportional to 3,337.18, 4,605.34 and 1,824.78

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Solution

The fourth proportional to 3,337.18, 4,605.34 and 1,824.78 is: 2,518.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,337.18 : 4,605.34 = 1,824.78 : x
  2. Step 2: Convert to fraction form
    3,337.18/4,605.34 = 1,824.78/x
  3. Step 3: Cross multiply
    3,337.18x = 4,605.34 × 1,824.78
  4. Step 4: Simplify right side
    3,337.18x = 8,403,727.80
  5. Step 5: Solve for x
    x = 8,403,727.80/3,337.18
  6. Step 6: Final answer
    x = 2,518.21

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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.