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Finding the Fourth Proportional to 1,511.23, 2,266.13 and 895.02

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Solution

The fourth proportional to 1,511.23, 2,266.13 and 895.02 is: 1,342.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.23 : 2,266.13 = 895.02 : x
  2. Step 2: Convert to fraction form
    1,511.23/2,266.13 = 895.02/x
  3. Step 3: Cross multiply
    1,511.23x = 2,266.13 × 895.02
  4. Step 4: Simplify right side
    1,511.23x = 2,028,231.67
  5. Step 5: Solve for x
    x = 2,028,231.67/1,511.23
  6. Step 6: Final answer
    x = 1,342.11

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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.