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Finding the Fourth Proportional to 1,887.94, 2,830.82 and 732.34

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Solution

The fourth proportional to 1,887.94, 2,830.82 and 732.34 is: 1,098.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.94 : 2,830.82 = 732.34 : x
  2. Step 2: Convert to fraction form
    1,887.94/2,830.82 = 732.34/x
  3. Step 3: Cross multiply
    1,887.94x = 2,830.82 × 732.34
  4. Step 4: Simplify right side
    1,887.94x = 2,073,122.72
  5. Step 5: Solve for x
    x = 2,073,122.72/1,887.94
  6. Step 6: Final answer
    x = 1,098.09

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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.