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Finding the Fourth Proportional to 1,581.66, 2,372.34 and 486.06

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Solution

The fourth proportional to 1,581.66, 2,372.34 and 486.06 is: 729.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.66 : 2,372.34 = 486.06 : x
  2. Step 2: Convert to fraction form
    1,581.66/2,372.34 = 486.06/x
  3. Step 3: Cross multiply
    1,581.66x = 2,372.34 × 486.06
  4. Step 4: Simplify right side
    1,581.66x = 1,153,099.58
  5. Step 5: Solve for x
    x = 1,153,099.58/1,581.66
  6. Step 6: Final answer
    x = 729.04

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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.