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Finding the Fourth Proportional to 2,256.51, 3,113.92 and 1,261.81

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Solution

The fourth proportional to 2,256.51, 3,113.92 and 1,261.81 is: 1,741.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.51 : 3,113.92 = 1,261.81 : x
  2. Step 2: Convert to fraction form
    2,256.51/3,113.92 = 1,261.81/x
  3. Step 3: Cross multiply
    2,256.51x = 3,113.92 × 1,261.81
  4. Step 4: Simplify right side
    2,256.51x = 3,929,180.86
  5. Step 5: Solve for x
    x = 3,929,180.86/2,256.51
  6. Step 6: Final answer
    x = 1,741.26

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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.