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Finding the Fourth Proportional to 2,669.98, 4,005.24 and 1,027.90

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Solution

The fourth proportional to 2,669.98, 4,005.24 and 1,027.90 is: 1,541.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.98 : 4,005.24 = 1,027.90 : x
  2. Step 2: Convert to fraction form
    2,669.98/4,005.24 = 1,027.90/x
  3. Step 3: Cross multiply
    2,669.98x = 4,005.24 × 1,027.90
  4. Step 4: Simplify right side
    2,669.98x = 4,116,986.20
  5. Step 5: Solve for x
    x = 4,116,986.20/2,669.98
  6. Step 6: Final answer
    x = 1,541.95

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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.