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Finding the Fourth Proportional to 2,259.68, 3,118.49 and 1,265.03

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Solution

The fourth proportional to 2,259.68, 3,118.49 and 1,265.03 is: 1,745.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.68 : 3,118.49 = 1,265.03 : x
  2. Step 2: Convert to fraction form
    2,259.68/3,118.49 = 1,265.03/x
  3. Step 3: Cross multiply
    2,259.68x = 3,118.49 × 1,265.03
  4. Step 4: Simplify right side
    2,259.68x = 3,944,983.40
  5. Step 5: Solve for x
    x = 3,944,983.40/2,259.68
  6. Step 6: Final answer
    x = 1,745.82

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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.