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Finding the Fourth Proportional to 1,581.64, 2,372.56 and 486.02

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Solution

The fourth proportional to 1,581.64, 2,372.56 and 486.02 is: 729.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.64 : 2,372.56 = 486.02 : x
  2. Step 2: Convert to fraction form
    1,581.64/2,372.56 = 486.02/x
  3. Step 3: Cross multiply
    1,581.64x = 2,372.56 × 486.02
  4. Step 4: Simplify right side
    1,581.64x = 1,153,111.61
  5. Step 5: Solve for x
    x = 1,153,111.61/1,581.64
  6. Step 6: Final answer
    x = 729.06

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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.