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Finding the Fourth Proportional to 2,259.78, 3,118.53 and 1,265.10

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Solution

The fourth proportional to 2,259.78, 3,118.53 and 1,265.10 is: 1,745.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.78 : 3,118.53 = 1,265.10 : x
  2. Step 2: Convert to fraction form
    2,259.78/3,118.53 = 1,265.10/x
  3. Step 3: Cross multiply
    2,259.78x = 3,118.53 × 1,265.10
  4. Step 4: Simplify right side
    2,259.78x = 3,945,252.30
  5. Step 5: Solve for x
    x = 3,945,252.30/2,259.78
  6. Step 6: Final answer
    x = 1,745.86

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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.