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Finding the Fourth Proportional to 2,159.16, 3,238.68 and 599.16

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Solution

The fourth proportional to 2,159.16, 3,238.68 and 599.16 is: 898.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.16 : 3,238.68 = 599.16 : x
  2. Step 2: Convert to fraction form
    2,159.16/3,238.68 = 599.16/x
  3. Step 3: Cross multiply
    2,159.16x = 3,238.68 × 599.16
  4. Step 4: Simplify right side
    2,159.16x = 1,940,487.51
  5. Step 5: Solve for x
    x = 1,940,487.51/2,159.16
  6. Step 6: Final answer
    x = 898.72

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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.