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Finding the Fourth Proportional to 1,511.91, 2,268.64 and 742.41

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Solution

The fourth proportional to 1,511.91, 2,268.64 and 742.41 is: 1,114.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.91 : 2,268.64 = 742.41 : x
  2. Step 2: Convert to fraction form
    1,511.91/2,268.64 = 742.41/x
  3. Step 3: Cross multiply
    1,511.91x = 2,268.64 × 742.41
  4. Step 4: Simplify right side
    1,511.91x = 1,684,261.02
  5. Step 5: Solve for x
    x = 1,684,261.02/1,511.91
  6. Step 6: Final answer
    x = 1,114.00

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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.