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Finding the Fourth Proportional to 1,468.17, 2,026.72 and 1,027.80

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Solution

The fourth proportional to 1,468.17, 2,026.72 and 1,027.80 is: 1,418.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.17 : 2,026.72 = 1,027.80 : x
  2. Step 2: Convert to fraction form
    1,468.17/2,026.72 = 1,027.80/x
  3. Step 3: Cross multiply
    1,468.17x = 2,026.72 × 1,027.80
  4. Step 4: Simplify right side
    1,468.17x = 2,083,062.82
  5. Step 5: Solve for x
    x = 2,083,062.82/1,468.17
  6. Step 6: Final answer
    x = 1,418.82

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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.