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Finding the Fourth Proportional to 1,901.84, 2,852.22 and 731.77

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Solution

The fourth proportional to 1,901.84, 2,852.22 and 731.77 is: 1,097.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.84 : 2,852.22 = 731.77 : x
  2. Step 2: Convert to fraction form
    1,901.84/2,852.22 = 731.77/x
  3. Step 3: Cross multiply
    1,901.84x = 2,852.22 × 731.77
  4. Step 4: Simplify right side
    1,901.84x = 2,087,161.90
  5. Step 5: Solve for x
    x = 2,087,161.90/1,901.84
  6. Step 6: Final answer
    x = 1,097.44

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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.