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Finding the Fourth Proportional to 2,132, 2,942.16 and 1,200.72

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Solution

The fourth proportional to 2,132, 2,942.16 and 1,200.72 is: 1,656.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132 : 2,942.16 = 1,200.72 : x
  2. Step 2: Convert to fraction form
    2,132/2,942.16 = 1,200.72/x
  3. Step 3: Cross multiply
    2,132x = 2,942.16 × 1,200.72
  4. Step 4: Simplify right side
    2,132x = 3,532,710.36
  5. Step 5: Solve for x
    x = 3,532,710.36/2,132
  6. Step 6: Final answer
    x = 1,656.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.