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Finding the Fourth Proportional to 1,540.06, 2,308.02 and 844.90

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Solution

The fourth proportional to 1,540.06, 2,308.02 and 844.90 is: 1,266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.06 : 2,308.02 = 844.90 : x
  2. Step 2: Convert to fraction form
    1,540.06/2,308.02 = 844.90/x
  3. Step 3: Cross multiply
    1,540.06x = 2,308.02 × 844.90
  4. Step 4: Simplify right side
    1,540.06x = 1,950,046.10
  5. Step 5: Solve for x
    x = 1,950,046.10/1,540.06
  6. Step 6: Final answer
    x = 1,266.21

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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.