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Finding the Fourth Proportional to 1,901.91, 2,852.94 and 603.38

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Solution

The fourth proportional to 1,901.91, 2,852.94 and 603.38 is: 905.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.91 : 2,852.94 = 603.38 : x
  2. Step 2: Convert to fraction form
    1,901.91/2,852.94 = 603.38/x
  3. Step 3: Cross multiply
    1,901.91x = 2,852.94 × 603.38
  4. Step 4: Simplify right side
    1,901.91x = 1,721,392.67
  5. Step 5: Solve for x
    x = 1,721,392.67/1,901.91
  6. Step 6: Final answer
    x = 905.09

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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.