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Finding the Fourth Proportional to 2,259.95, 3,118.73 and 1,265.24

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Solution

The fourth proportional to 2,259.95, 3,118.73 and 1,265.24 is: 1,746.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.95 : 3,118.73 = 1,265.24 : x
  2. Step 2: Convert to fraction form
    2,259.95/3,118.73 = 1,265.24/x
  3. Step 3: Cross multiply
    2,259.95x = 3,118.73 × 1,265.24
  4. Step 4: Simplify right side
    2,259.95x = 3,945,920.03
  5. Step 5: Solve for x
    x = 3,945,920.03/2,259.95
  6. Step 6: Final answer
    x = 1,746.02

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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.