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Finding the Fourth Proportional to 2,259.35, 3,117.84 and 1,264.56

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Solution

The fourth proportional to 2,259.35, 3,117.84 and 1,264.56 is: 1,745.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.35 : 3,117.84 = 1,264.56 : x
  2. Step 2: Convert to fraction form
    2,259.35/3,117.84 = 1,264.56/x
  3. Step 3: Cross multiply
    2,259.35x = 3,117.84 × 1,264.56
  4. Step 4: Simplify right side
    2,259.35x = 3,942,695.75
  5. Step 5: Solve for x
    x = 3,942,695.75/2,259.35
  6. Step 6: Final answer
    x = 1,745.06

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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.