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Finding the Fourth Proportional to 2,704.93, 4,058.98 and 1,144.83

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Solution

The fourth proportional to 2,704.93, 4,058.98 and 1,144.83 is: 1,717.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.93 : 4,058.98 = 1,144.83 : x
  2. Step 2: Convert to fraction form
    2,704.93/4,058.98 = 1,144.83/x
  3. Step 3: Cross multiply
    2,704.93x = 4,058.98 × 1,144.83
  4. Step 4: Simplify right side
    2,704.93x = 4,646,854.43
  5. Step 5: Solve for x
    x = 4,646,854.43/2,704.93
  6. Step 6: Final answer
    x = 1,717.92

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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.