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Finding the Fourth Proportional to 2,260.96, 3,120.50 and 1,266.49

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Solution

The fourth proportional to 2,260.96, 3,120.50 and 1,266.49 is: 1,747.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.96 : 3,120.50 = 1,266.49 : x
  2. Step 2: Convert to fraction form
    2,260.96/3,120.50 = 1,266.49/x
  3. Step 3: Cross multiply
    2,260.96x = 3,120.50 × 1,266.49
  4. Step 4: Simplify right side
    2,260.96x = 3,952,068.00
  5. Step 5: Solve for x
    x = 3,952,068.00/2,260.96
  6. Step 6: Final answer
    x = 1,747.96

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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.