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Finding the Fourth Proportional to 1,511.68, 2,269.05 and 1,018.03

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Solution

The fourth proportional to 1,511.68, 2,269.05 and 1,018.03 is: 1,528.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.68 : 2,269.05 = 1,018.03 : x
  2. Step 2: Convert to fraction form
    1,511.68/2,269.05 = 1,018.03/x
  3. Step 3: Cross multiply
    1,511.68x = 2,269.05 × 1,018.03
  4. Step 4: Simplify right side
    1,511.68x = 2,309,960.97
  5. Step 5: Solve for x
    x = 2,309,960.97/1,511.68
  6. Step 6: Final answer
    x = 1,528.08

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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.