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Finding the Fourth Proportional to 2,259.52, 3,118.08 and 1,264.75

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Solution

The fourth proportional to 2,259.52, 3,118.08 and 1,264.75 is: 1,745.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.52 : 3,118.08 = 1,264.75 : x
  2. Step 2: Convert to fraction form
    2,259.52/3,118.08 = 1,264.75/x
  3. Step 3: Cross multiply
    2,259.52x = 3,118.08 × 1,264.75
  4. Step 4: Simplify right side
    2,259.52x = 3,943,591.68
  5. Step 5: Solve for x
    x = 3,943,591.68/2,259.52
  6. Step 6: Final answer
    x = 1,745.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.