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Finding the Fourth Proportional to 1,511.79, 2,269.03 and 1,266.49

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Solution

The fourth proportional to 1,511.79, 2,269.03 and 1,266.49 is: 1,900.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.79 : 2,269.03 = 1,266.49 : x
  2. Step 2: Convert to fraction form
    1,511.79/2,269.03 = 1,266.49/x
  3. Step 3: Cross multiply
    1,511.79x = 2,269.03 × 1,266.49
  4. Step 4: Simplify right side
    1,511.79x = 2,873,703.80
  5. Step 5: Solve for x
    x = 2,873,703.80/1,511.79
  6. Step 6: Final answer
    x = 1,900.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.