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Finding the Fourth Proportional to 2,532.64, 3,496.64 and 1,942.08

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Solution

The fourth proportional to 2,532.64, 3,496.64 and 1,942.08 is: 2,681.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.64 : 3,496.64 = 1,942.08 : x
  2. Step 2: Convert to fraction form
    2,532.64/3,496.64 = 1,942.08/x
  3. Step 3: Cross multiply
    2,532.64x = 3,496.64 × 1,942.08
  4. Step 4: Simplify right side
    2,532.64x = 6,790,754.61
  5. Step 5: Solve for x
    x = 6,790,754.61/2,532.64
  6. Step 6: Final answer
    x = 2,681.29

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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.