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Finding the Fourth Proportional to 2,256.00, 3,112.88 and 1,261.29

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Solution

The fourth proportional to 2,256.00, 3,112.88 and 1,261.29 is: 1,740.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.00 : 3,112.88 = 1,261.29 : x
  2. Step 2: Convert to fraction form
    2,256.00/3,112.88 = 1,261.29/x
  3. Step 3: Cross multiply
    2,256.00x = 3,112.88 × 1,261.29
  4. Step 4: Simplify right side
    2,256.00x = 3,926,239.37
  5. Step 5: Solve for x
    x = 3,926,239.37/2,256.00
  6. Step 6: Final answer
    x = 1,740.35

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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.