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Finding the Fourth Proportional to 2,219.32, 3,326.08 and 1,605.08

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Solution

The fourth proportional to 2,219.32, 3,326.08 and 1,605.08 is: 2,405.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.32 : 3,326.08 = 1,605.08 : x
  2. Step 2: Convert to fraction form
    2,219.32/3,326.08 = 1,605.08/x
  3. Step 3: Cross multiply
    2,219.32x = 3,326.08 × 1,605.08
  4. Step 4: Simplify right side
    2,219.32x = 5,338,624.49
  5. Step 5: Solve for x
    x = 5,338,624.49/2,219.32
  6. Step 6: Final answer
    x = 2,405.52

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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.