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Finding the Fourth Proportional to 2,256.58, 3,113.67 and 1,261.77

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Solution

The fourth proportional to 2,256.58, 3,113.67 and 1,261.77 is: 1,741.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.58 : 3,113.67 = 1,261.77 : x
  2. Step 2: Convert to fraction form
    2,256.58/3,113.67 = 1,261.77/x
  3. Step 3: Cross multiply
    2,256.58x = 3,113.67 × 1,261.77
  4. Step 4: Simplify right side
    2,256.58x = 3,928,735.40
  5. Step 5: Solve for x
    x = 3,928,735.40/2,256.58
  6. Step 6: Final answer
    x = 1,741.01

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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.