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Finding the Fourth Proportional to 1,660.23, 2,288.07 and 1,378.95

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Solution

The fourth proportional to 1,660.23, 2,288.07 and 1,378.95 is: 1,900.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.23 : 2,288.07 = 1,378.95 : x
  2. Step 2: Convert to fraction form
    1,660.23/2,288.07 = 1,378.95/x
  3. Step 3: Cross multiply
    1,660.23x = 2,288.07 × 1,378.95
  4. Step 4: Simplify right side
    1,660.23x = 3,155,134.13
  5. Step 5: Solve for x
    x = 3,155,134.13/1,660.23
  6. Step 6: Final answer
    x = 1,900.42

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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.