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Finding the Fourth Proportional to 1,933.75, 2,901.12 and 635.23

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Solution

The fourth proportional to 1,933.75, 2,901.12 and 635.23 is: 953.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.75 : 2,901.12 = 635.23 : x
  2. Step 2: Convert to fraction form
    1,933.75/2,901.12 = 635.23/x
  3. Step 3: Cross multiply
    1,933.75x = 2,901.12 × 635.23
  4. Step 4: Simplify right side
    1,933.75x = 1,842,878.46
  5. Step 5: Solve for x
    x = 1,842,878.46/1,933.75
  6. Step 6: Final answer
    x = 953.01

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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.