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Finding the Fourth Proportional to 1,901.75, 2,852.07 and 602.78

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Solution

The fourth proportional to 1,901.75, 2,852.07 and 602.78 is: 903.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.75 : 2,852.07 = 602.78 : x
  2. Step 2: Convert to fraction form
    1,901.75/2,852.07 = 602.78/x
  3. Step 3: Cross multiply
    1,901.75x = 2,852.07 × 602.78
  4. Step 4: Simplify right side
    1,901.75x = 1,719,170.75
  5. Step 5: Solve for x
    x = 1,719,170.75/1,901.75
  6. Step 6: Final answer
    x = 903.99

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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.