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Finding the Fourth Proportional to 2,256.86, 3,114.34 and 1,262.16

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Solution

The fourth proportional to 2,256.86, 3,114.34 and 1,262.16 is: 1,741.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.86 : 3,114.34 = 1,262.16 : x
  2. Step 2: Convert to fraction form
    2,256.86/3,114.34 = 1,262.16/x
  3. Step 3: Cross multiply
    2,256.86x = 3,114.34 × 1,262.16
  4. Step 4: Simplify right side
    2,256.86x = 3,930,792.22
  5. Step 5: Solve for x
    x = 3,930,792.22/2,256.86
  6. Step 6: Final answer
    x = 1,741.71

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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.