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Finding the Fourth Proportional to 2,259.90, 3,118.68 and 1,265.22

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Solution

The fourth proportional to 2,259.90, 3,118.68 and 1,265.22 is: 1,746.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.90 : 3,118.68 = 1,265.22 : x
  2. Step 2: Convert to fraction form
    2,259.90/3,118.68 = 1,265.22/x
  3. Step 3: Cross multiply
    2,259.90x = 3,118.68 × 1,265.22
  4. Step 4: Simplify right side
    2,259.90x = 3,945,816.31
  5. Step 5: Solve for x
    x = 3,945,816.31/2,259.90
  6. Step 6: Final answer
    x = 1,746.01

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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.