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Finding the Fourth Proportional to 3,026.97, 4,534.74 and 1,462.32

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Solution

The fourth proportional to 3,026.97, 4,534.74 and 1,462.32 is: 2,190.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.97 : 4,534.74 = 1,462.32 : x
  2. Step 2: Convert to fraction form
    3,026.97/4,534.74 = 1,462.32/x
  3. Step 3: Cross multiply
    3,026.97x = 4,534.74 × 1,462.32
  4. Step 4: Simplify right side
    3,026.97x = 6,631,241.00
  5. Step 5: Solve for x
    x = 6,631,241.00/3,026.97
  6. Step 6: Final answer
    x = 2,190.72

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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.