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Finding the Fourth Proportional to 1,928.84, 2,662.14 and 1,143.32

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Solution

The fourth proportional to 1,928.84, 2,662.14 and 1,143.32 is: 1,577.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.84 : 2,662.14 = 1,143.32 : x
  2. Step 2: Convert to fraction form
    1,928.84/2,662.14 = 1,143.32/x
  3. Step 3: Cross multiply
    1,928.84x = 2,662.14 × 1,143.32
  4. Step 4: Simplify right side
    1,928.84x = 3,043,677.90
  5. Step 5: Solve for x
    x = 3,043,677.90/1,928.84
  6. Step 6: Final answer
    x = 1,577.98

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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.