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Finding the Fourth Proportional to 2,232.50, 3,080.99 and 1,288.47

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Solution

The fourth proportional to 2,232.50, 3,080.99 and 1,288.47 is: 1,778.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.50 : 3,080.99 = 1,288.47 : x
  2. Step 2: Convert to fraction form
    2,232.50/3,080.99 = 1,288.47/x
  3. Step 3: Cross multiply
    2,232.50x = 3,080.99 × 1,288.47
  4. Step 4: Simplify right side
    2,232.50x = 3,969,756.74
  5. Step 5: Solve for x
    x = 3,969,756.74/2,232.50
  6. Step 6: Final answer
    x = 1,778.17

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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.