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Finding the Fourth Proportional to 2,159.17, 3,238.38 and 599.32

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Solution

The fourth proportional to 2,159.17, 3,238.38 and 599.32 is: 898.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.17 : 3,238.38 = 599.32 : x
  2. Step 2: Convert to fraction form
    2,159.17/3,238.38 = 599.32/x
  3. Step 3: Cross multiply
    2,159.17x = 3,238.38 × 599.32
  4. Step 4: Simplify right side
    2,159.17x = 1,940,817.81
  5. Step 5: Solve for x
    x = 1,940,817.81/2,159.17
  6. Step 6: Final answer
    x = 898.87

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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.