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Finding the Fourth Proportional to 1,581.92, 2,372.86 and 486.24

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Solution

The fourth proportional to 1,581.92, 2,372.86 and 486.24 is: 729.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.92 : 2,372.86 = 486.24 : x
  2. Step 2: Convert to fraction form
    1,581.92/2,372.86 = 486.24/x
  3. Step 3: Cross multiply
    1,581.92x = 2,372.86 × 486.24
  4. Step 4: Simplify right side
    1,581.92x = 1,153,779.45
  5. Step 5: Solve for x
    x = 1,153,779.45/1,581.92
  6. Step 6: Final answer
    x = 729.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.