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Finding the Fourth Proportional to 3,132, 4,698.36 and 1,157.58

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Solution

The fourth proportional to 3,132, 4,698.36 and 1,157.58 is: 1,736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132 : 4,698.36 = 1,157.58 : x
  2. Step 2: Convert to fraction form
    3,132/4,698.36 = 1,157.58/x
  3. Step 3: Cross multiply
    3,132x = 4,698.36 × 1,157.58
  4. Step 4: Simplify right side
    3,132x = 5,438,727.57
  5. Step 5: Solve for x
    x = 5,438,727.57/3,132
  6. Step 6: Final answer
    x = 1,736.50

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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.