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Finding the Fourth Proportional to 1,460.93, 2,188.96 and 1,027.17

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Solution

The fourth proportional to 1,460.93, 2,188.96 and 1,027.17 is: 1,539.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.93 : 2,188.96 = 1,027.17 : x
  2. Step 2: Convert to fraction form
    1,460.93/2,188.96 = 1,027.17/x
  3. Step 3: Cross multiply
    1,460.93x = 2,188.96 × 1,027.17
  4. Step 4: Simplify right side
    1,460.93x = 2,248,431.48
  5. Step 5: Solve for x
    x = 2,248,431.48/1,460.93
  6. Step 6: Final answer
    x = 1,539.05

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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.