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Finding the Fourth Proportional to 2,259.60, 3,118.15 and 1,264.69

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Solution

The fourth proportional to 2,259.60, 3,118.15 and 1,264.69 is: 1,745.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.60 : 3,118.15 = 1,264.69 : x
  2. Step 2: Convert to fraction form
    2,259.60/3,118.15 = 1,264.69/x
  3. Step 3: Cross multiply
    2,259.60x = 3,118.15 × 1,264.69
  4. Step 4: Simplify right side
    2,259.60x = 3,943,493.12
  5. Step 5: Solve for x
    x = 3,943,493.12/2,259.60
  6. Step 6: Final answer
    x = 1,745.22

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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.