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Finding the Fourth Proportional to 2,259.44, 3,118.16 and 1,264.79

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Solution

The fourth proportional to 2,259.44, 3,118.16 and 1,264.79 is: 1,745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.44 : 3,118.16 = 1,264.79 : x
  2. Step 2: Convert to fraction form
    2,259.44/3,118.16 = 1,264.79/x
  3. Step 3: Cross multiply
    2,259.44x = 3,118.16 × 1,264.79
  4. Step 4: Simplify right side
    2,259.44x = 3,943,795.67
  5. Step 5: Solve for x
    x = 3,943,795.67/2,259.44
  6. Step 6: Final answer
    x = 1,745.48

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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.