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Finding the Fourth Proportional to 3,097.96, 4,648 and 1,150.32

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Solution

The fourth proportional to 3,097.96, 4,648 and 1,150.32 is: 1,725.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.96 : 4,648 = 1,150.32 : x
  2. Step 2: Convert to fraction form
    3,097.96/4,648 = 1,150.32/x
  3. Step 3: Cross multiply
    3,097.96x = 4,648 × 1,150.32
  4. Step 4: Simplify right side
    3,097.96x = 5,346,687.36
  5. Step 5: Solve for x
    x = 5,346,687.36/3,097.96
  6. Step 6: Final answer
    x = 1,725.87

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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.