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Finding the Fourth Proportional to 2,259.66, 3,118.33 and 1,264.94

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Solution

The fourth proportional to 2,259.66, 3,118.33 and 1,264.94 is: 1,745.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.66 : 3,118.33 = 1,264.94 : x
  2. Step 2: Convert to fraction form
    2,259.66/3,118.33 = 1,264.94/x
  3. Step 3: Cross multiply
    2,259.66x = 3,118.33 × 1,264.94
  4. Step 4: Simplify right side
    2,259.66x = 3,944,500.35
  5. Step 5: Solve for x
    x = 3,944,500.35/2,259.66
  6. Step 6: Final answer
    x = 1,745.62

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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.