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Finding the Fourth Proportional to 3,319.88, 4,581.65 and 1,828.13

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Solution

The fourth proportional to 3,319.88, 4,581.65 and 1,828.13 is: 2,522.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.88 : 4,581.65 = 1,828.13 : x
  2. Step 2: Convert to fraction form
    3,319.88/4,581.65 = 1,828.13/x
  3. Step 3: Cross multiply
    3,319.88x = 4,581.65 × 1,828.13
  4. Step 4: Simplify right side
    3,319.88x = 8,375,854.13
  5. Step 5: Solve for x
    x = 8,375,854.13/3,319.88
  6. Step 6: Final answer
    x = 2,522.94

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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.