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Finding the Fourth Proportional to 1,838.28, 2,757.52 and 588.98

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Solution

The fourth proportional to 1,838.28, 2,757.52 and 588.98 is: 883.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.28 : 2,757.52 = 588.98 : x
  2. Step 2: Convert to fraction form
    1,838.28/2,757.52 = 588.98/x
  3. Step 3: Cross multiply
    1,838.28x = 2,757.52 × 588.98
  4. Step 4: Simplify right side
    1,838.28x = 1,624,124.13
  5. Step 5: Solve for x
    x = 1,624,124.13/1,838.28
  6. Step 6: Final answer
    x = 883.50

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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.