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Finding the Fourth Proportional to 1,382.25, 2,074.38 and 919.86

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Solution

The fourth proportional to 1,382.25, 2,074.38 and 919.86 is: 1,380.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.25 : 2,074.38 = 919.86 : x
  2. Step 2: Convert to fraction form
    1,382.25/2,074.38 = 919.86/x
  3. Step 3: Cross multiply
    1,382.25x = 2,074.38 × 919.86
  4. Step 4: Simplify right side
    1,382.25x = 1,908,139.19
  5. Step 5: Solve for x
    x = 1,908,139.19/1,382.25
  6. Step 6: Final answer
    x = 1,380.46

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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.