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Finding the Fourth Proportional to 2,203.18, 3,304.89 and 559.74

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Solution

The fourth proportional to 2,203.18, 3,304.89 and 559.74 is: 839.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.18 : 3,304.89 = 559.74 : x
  2. Step 2: Convert to fraction form
    2,203.18/3,304.89 = 559.74/x
  3. Step 3: Cross multiply
    2,203.18x = 3,304.89 × 559.74
  4. Step 4: Simplify right side
    2,203.18x = 1,849,879.13
  5. Step 5: Solve for x
    x = 1,849,879.13/2,203.18
  6. Step 6: Final answer
    x = 839.64

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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.