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Finding the Fourth Proportional to 3,259.94, 4,891.12 and 1,505.78

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Solution

The fourth proportional to 3,259.94, 4,891.12 and 1,505.78 is: 2,259.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.94 : 4,891.12 = 1,505.78 : x
  2. Step 2: Convert to fraction form
    3,259.94/4,891.12 = 1,505.78/x
  3. Step 3: Cross multiply
    3,259.94x = 4,891.12 × 1,505.78
  4. Step 4: Simplify right side
    3,259.94x = 7,364,959.14
  5. Step 5: Solve for x
    x = 7,364,959.14/3,259.94
  6. Step 6: Final answer
    x = 2,259.23

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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.