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Finding the Fourth Proportional to 2,265.15, 3,125.93 and 1,256.88

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Solution

The fourth proportional to 2,265.15, 3,125.93 and 1,256.88 is: 1,734.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.15 : 3,125.93 = 1,256.88 : x
  2. Step 2: Convert to fraction form
    2,265.15/3,125.93 = 1,256.88/x
  3. Step 3: Cross multiply
    2,265.15x = 3,125.93 × 1,256.88
  4. Step 4: Simplify right side
    2,265.15x = 3,928,918.90
  5. Step 5: Solve for x
    x = 3,928,918.90/2,265.15
  6. Step 6: Final answer
    x = 1,734.51

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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.