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Finding the Fourth Proportional to 1,511.33, 2,266.95 and 415.76

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Solution

The fourth proportional to 1,511.33, 2,266.95 and 415.76 is: 623.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.33 : 2,266.95 = 415.76 : x
  2. Step 2: Convert to fraction form
    1,511.33/2,266.95 = 415.76/x
  3. Step 3: Cross multiply
    1,511.33x = 2,266.95 × 415.76
  4. Step 4: Simplify right side
    1,511.33x = 942,507.13
  5. Step 5: Solve for x
    x = 942,507.13/1,511.33
  6. Step 6: Final answer
    x = 623.63

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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.