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Finding the Fourth Proportional to 1,923.24, 2,887.74 and 1,888.68

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Solution

The fourth proportional to 1,923.24, 2,887.74 and 1,888.68 is: 2,835.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.24 : 2,887.74 = 1,888.68 : x
  2. Step 2: Convert to fraction form
    1,923.24/2,887.74 = 1,888.68/x
  3. Step 3: Cross multiply
    1,923.24x = 2,887.74 × 1,888.68
  4. Step 4: Simplify right side
    1,923.24x = 5,454,016.78
  5. Step 5: Solve for x
    x = 5,454,016.78/1,923.24
  6. Step 6: Final answer
    x = 2,835.85

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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.