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Finding the Fourth Proportional to 1,923.84, 2,655.24 and 1,138.32

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Solution

The fourth proportional to 1,923.84, 2,655.24 and 1,138.32 is: 1,571.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.84 : 2,655.24 = 1,138.32 : x
  2. Step 2: Convert to fraction form
    1,923.84/2,655.24 = 1,138.32/x
  3. Step 3: Cross multiply
    1,923.84x = 2,655.24 × 1,138.32
  4. Step 4: Simplify right side
    1,923.84x = 3,022,512.80
  5. Step 5: Solve for x
    x = 3,022,512.80/1,923.84
  6. Step 6: Final answer
    x = 1,571.08

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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.