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Finding the Fourth Proportional to 1,833.20, 2,749.08 and 678.32

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Solution

The fourth proportional to 1,833.20, 2,749.08 and 678.32 is: 1,017.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.20 : 2,749.08 = 678.32 : x
  2. Step 2: Convert to fraction form
    1,833.20/2,749.08 = 678.32/x
  3. Step 3: Cross multiply
    1,833.20x = 2,749.08 × 678.32
  4. Step 4: Simplify right side
    1,833.20x = 1,864,755.95
  5. Step 5: Solve for x
    x = 1,864,755.95/1,833.20
  6. Step 6: Final answer
    x = 1,017.21

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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.