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Finding the Fourth Proportional to 1,380.07, 1,901.95 and 1,169.57

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Solution

The fourth proportional to 1,380.07, 1,901.95 and 1,169.57 is: 1,611.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.07 : 1,901.95 = 1,169.57 : x
  2. Step 2: Convert to fraction form
    1,380.07/1,901.95 = 1,169.57/x
  3. Step 3: Cross multiply
    1,380.07x = 1,901.95 × 1,169.57
  4. Step 4: Simplify right side
    1,380.07x = 2,224,465.49
  5. Step 5: Solve for x
    x = 2,224,465.49/1,380.07
  6. Step 6: Final answer
    x = 1,611.85

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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.