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Finding the Fourth Proportional to 2,256.77, 3,114.27 and 1,262.04

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Solution

The fourth proportional to 2,256.77, 3,114.27 and 1,262.04 is: 1,741.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.77 : 3,114.27 = 1,262.04 : x
  2. Step 2: Convert to fraction form
    2,256.77/3,114.27 = 1,262.04/x
  3. Step 3: Cross multiply
    2,256.77x = 3,114.27 × 1,262.04
  4. Step 4: Simplify right side
    2,256.77x = 3,930,333.31
  5. Step 5: Solve for x
    x = 3,930,333.31/2,256.77
  6. Step 6: Final answer
    x = 1,741.58

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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.