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Finding the Fourth Proportional to 1,511.12, 2,264.05 and 818.26

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Solution

The fourth proportional to 1,511.12, 2,264.05 and 818.26 is: 1,225.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.12 : 2,264.05 = 818.26 : x
  2. Step 2: Convert to fraction form
    1,511.12/2,264.05 = 818.26/x
  3. Step 3: Cross multiply
    1,511.12x = 2,264.05 × 818.26
  4. Step 4: Simplify right side
    1,511.12x = 1,852,581.55
  5. Step 5: Solve for x
    x = 1,852,581.55/1,511.12
  6. Step 6: Final answer
    x = 1,225.97

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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.