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Finding the Fourth Proportional to 1,581.68, 2,372.31 and 486.15

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Solution

The fourth proportional to 1,581.68, 2,372.31 and 486.15 is: 729.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.68 : 2,372.31 = 486.15 : x
  2. Step 2: Convert to fraction form
    1,581.68/2,372.31 = 486.15/x
  3. Step 3: Cross multiply
    1,581.68x = 2,372.31 × 486.15
  4. Step 4: Simplify right side
    1,581.68x = 1,153,298.51
  5. Step 5: Solve for x
    x = 1,153,298.51/1,581.68
  6. Step 6: Final answer
    x = 729.16

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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.