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Finding the Fourth Proportional to 2,261.56, 3,113.70 and 1,763.56

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Solution

The fourth proportional to 2,261.56, 3,113.70 and 1,763.56 is: 2,428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.56 : 3,113.70 = 1,763.56 : x
  2. Step 2: Convert to fraction form
    2,261.56/3,113.70 = 1,763.56/x
  3. Step 3: Cross multiply
    2,261.56x = 3,113.70 × 1,763.56
  4. Step 4: Simplify right side
    2,261.56x = 5,491,196.77
  5. Step 5: Solve for x
    x = 5,491,196.77/2,261.56
  6. Step 6: Final answer
    x = 2,428.06

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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.