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Finding the Fourth Proportional to 2,884.80, 4,317.48 and 2,398.80

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Solution

The fourth proportional to 2,884.80, 4,317.48 and 2,398.80 is: 3,590.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.80 : 4,317.48 = 2,398.80 : x
  2. Step 2: Convert to fraction form
    2,884.80/4,317.48 = 2,398.80/x
  3. Step 3: Cross multiply
    2,884.80x = 4,317.48 × 2,398.80
  4. Step 4: Simplify right side
    2,884.80x = 10,356,771.02
  5. Step 5: Solve for x
    x = 10,356,771.02/2,884.80
  6. Step 6: Final answer
    x = 3,590.12

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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.