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Finding the Fourth Proportional to 3,314.83, 4,974.50 and 1,754.77

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Solution

The fourth proportional to 3,314.83, 4,974.50 and 1,754.77 is: 2,633.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.83 : 4,974.50 = 1,754.77 : x
  2. Step 2: Convert to fraction form
    3,314.83/4,974.50 = 1,754.77/x
  3. Step 3: Cross multiply
    3,314.83x = 4,974.50 × 1,754.77
  4. Step 4: Simplify right side
    3,314.83x = 8,729,095.32
  5. Step 5: Solve for x
    x = 8,729,095.32/3,314.83
  6. Step 6: Final answer
    x = 2,633.35

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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.