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Finding the Fourth Proportional to 2,259.74, 3,118.40 and 1,265.10

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Solution

The fourth proportional to 2,259.74, 3,118.40 and 1,265.10 is: 1,745.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.74 : 3,118.40 = 1,265.10 : x
  2. Step 2: Convert to fraction form
    2,259.74/3,118.40 = 1,265.10/x
  3. Step 3: Cross multiply
    2,259.74x = 3,118.40 × 1,265.10
  4. Step 4: Simplify right side
    2,259.74x = 3,945,081.51
  5. Step 5: Solve for x
    x = 3,945,081.51/2,259.74
  6. Step 6: Final answer
    x = 1,745.82

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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.