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Finding the Fourth Proportional to 3,340.41, 4,609.77 and 1,827.99

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Solution

The fourth proportional to 3,340.41, 4,609.77 and 1,827.99 is: 2,522.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.41 : 4,609.77 = 1,827.99 : x
  2. Step 2: Convert to fraction form
    3,340.41/4,609.77 = 1,827.99/x
  3. Step 3: Cross multiply
    3,340.41x = 4,609.77 × 1,827.99
  4. Step 4: Simplify right side
    3,340.41x = 8,426,613.46
  5. Step 5: Solve for x
    x = 8,426,613.46/3,340.41
  6. Step 6: Final answer
    x = 2,522.63

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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.