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Finding the Fourth Proportional to 1,838.46, 2,754.48 and 1,532.28

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Solution

The fourth proportional to 1,838.46, 2,754.48 and 1,532.28 is: 2,295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.46 : 2,754.48 = 1,532.28 : x
  2. Step 2: Convert to fraction form
    1,838.46/2,754.48 = 1,532.28/x
  3. Step 3: Cross multiply
    1,838.46x = 2,754.48 × 1,532.28
  4. Step 4: Simplify right side
    1,838.46x = 4,220,634.61
  5. Step 5: Solve for x
    x = 4,220,634.61/1,838.46
  6. Step 6: Final answer
    x = 2,295.74

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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.