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Finding the Fourth Proportional to 1,508.84, 2,082.35 and 845.81

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Solution

The fourth proportional to 1,508.84, 2,082.35 and 845.81 is: 1,167.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.84 : 2,082.35 = 845.81 : x
  2. Step 2: Convert to fraction form
    1,508.84/2,082.35 = 845.81/x
  3. Step 3: Cross multiply
    1,508.84x = 2,082.35 × 845.81
  4. Step 4: Simplify right side
    1,508.84x = 1,761,257.81
  5. Step 5: Solve for x
    x = 1,761,257.81/1,508.84
  6. Step 6: Final answer
    x = 1,167.30

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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.