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Finding the Fourth Proportional to 2,215.52, 3,316.84 and 1,288.25

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Solution

The fourth proportional to 2,215.52, 3,316.84 and 1,288.25 is: 1,928.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.52 : 3,316.84 = 1,288.25 : x
  2. Step 2: Convert to fraction form
    2,215.52/3,316.84 = 1,288.25/x
  3. Step 3: Cross multiply
    2,215.52x = 3,316.84 × 1,288.25
  4. Step 4: Simplify right side
    2,215.52x = 4,272,919.13
  5. Step 5: Solve for x
    x = 4,272,919.13/2,215.52
  6. Step 6: Final answer
    x = 1,928.63

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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.