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Finding the Fourth Proportional to 2,265.17, 3,126.09 and 1,256.93

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Solution

The fourth proportional to 2,265.17, 3,126.09 and 1,256.93 is: 1,734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.17 : 3,126.09 = 1,256.93 : x
  2. Step 2: Convert to fraction form
    2,265.17/3,126.09 = 1,256.93/x
  3. Step 3: Cross multiply
    2,265.17x = 3,126.09 × 1,256.93
  4. Step 4: Simplify right side
    2,265.17x = 3,929,267.64
  5. Step 5: Solve for x
    x = 3,929,267.64/2,265.17
  6. Step 6: Final answer
    x = 1,734.65

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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.