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Finding the Fourth Proportional to 1,830.53, 2,747.01 and 906.12

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Solution

The fourth proportional to 1,830.53, 2,747.01 and 906.12 is: 1,359.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.53 : 2,747.01 = 906.12 : x
  2. Step 2: Convert to fraction form
    1,830.53/2,747.01 = 906.12/x
  3. Step 3: Cross multiply
    1,830.53x = 2,747.01 × 906.12
  4. Step 4: Simplify right side
    1,830.53x = 2,489,124.10
  5. Step 5: Solve for x
    x = 2,489,124.10/1,830.53
  6. Step 6: Final answer
    x = 1,359.78

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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.