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Finding the Fourth Proportional to 2,400.95, 3,314.84 and 1,959.90

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Solution

The fourth proportional to 2,400.95, 3,314.84 and 1,959.90 is: 2,705.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.95 : 3,314.84 = 1,959.90 : x
  2. Step 2: Convert to fraction form
    2,400.95/3,314.84 = 1,959.90/x
  3. Step 3: Cross multiply
    2,400.95x = 3,314.84 × 1,959.90
  4. Step 4: Simplify right side
    2,400.95x = 6,496,754.92
  5. Step 5: Solve for x
    x = 6,496,754.92/2,400.95
  6. Step 6: Final answer
    x = 2,705.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.