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Finding the Fourth Proportional to 2,259.40, 3,117.72 and 1,264.54

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Solution

The fourth proportional to 2,259.40, 3,117.72 and 1,264.54 is: 1,744.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.40 : 3,117.72 = 1,264.54 : x
  2. Step 2: Convert to fraction form
    2,259.40/3,117.72 = 1,264.54/x
  3. Step 3: Cross multiply
    2,259.40x = 3,117.72 × 1,264.54
  4. Step 4: Simplify right side
    2,259.40x = 3,942,481.65
  5. Step 5: Solve for x
    x = 3,942,481.65/2,259.40
  6. Step 6: Final answer
    x = 1,744.92

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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.