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Finding the Fourth Proportional to 1,468.23, 2,026.17 and 805.11

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Solution

The fourth proportional to 1,468.23, 2,026.17 and 805.11 is: 1,111.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.23 : 2,026.17 = 805.11 : x
  2. Step 2: Convert to fraction form
    1,468.23/2,026.17 = 805.11/x
  3. Step 3: Cross multiply
    1,468.23x = 2,026.17 × 805.11
  4. Step 4: Simplify right side
    1,468.23x = 1,631,289.73
  5. Step 5: Solve for x
    x = 1,631,289.73/1,468.23
  6. Step 6: Final answer
    x = 1,111.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.