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Finding the Fourth Proportional to 1,508.02, 2,081.01 and 844.82

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Solution

The fourth proportional to 1,508.02, 2,081.01 and 844.82 is: 1,165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.02 : 2,081.01 = 844.82 : x
  2. Step 2: Convert to fraction form
    1,508.02/2,081.01 = 844.82/x
  3. Step 3: Cross multiply
    1,508.02x = 2,081.01 × 844.82
  4. Step 4: Simplify right side
    1,508.02x = 1,758,078.87
  5. Step 5: Solve for x
    x = 1,758,078.87/1,508.02
  6. Step 6: Final answer
    x = 1,165.82

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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.