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Finding the Fourth Proportional to 1,581.59, 2,372.63 and 486.14

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Solution

The fourth proportional to 1,581.59, 2,372.63 and 486.14 is: 729.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.59 : 2,372.63 = 486.14 : x
  2. Step 2: Convert to fraction form
    1,581.59/2,372.63 = 486.14/x
  3. Step 3: Cross multiply
    1,581.59x = 2,372.63 × 486.14
  4. Step 4: Simplify right side
    1,581.59x = 1,153,416.05
  5. Step 5: Solve for x
    x = 1,153,416.05/1,581.59
  6. Step 6: Final answer
    x = 729.28

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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.