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Finding the Fourth Proportional to 1,581.83, 2,372.73 and 608.14

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Solution

The fourth proportional to 1,581.83, 2,372.73 and 608.14 is: 912.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.83 : 2,372.73 = 608.14 : x
  2. Step 2: Convert to fraction form
    1,581.83/2,372.73 = 608.14/x
  3. Step 3: Cross multiply
    1,581.83x = 2,372.73 × 608.14
  4. Step 4: Simplify right side
    1,581.83x = 1,442,952.71
  5. Step 5: Solve for x
    x = 1,442,952.71/1,581.83
  6. Step 6: Final answer
    x = 912.21

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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.