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Finding the Fourth Proportional to 1,933.93, 2,900.89 and 701.33

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Solution

The fourth proportional to 1,933.93, 2,900.89 and 701.33 is: 1,052.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.93 : 2,900.89 = 701.33 : x
  2. Step 2: Convert to fraction form
    1,933.93/2,900.89 = 701.33/x
  3. Step 3: Cross multiply
    1,933.93x = 2,900.89 × 701.33
  4. Step 4: Simplify right side
    1,933.93x = 2,034,486.68
  5. Step 5: Solve for x
    x = 2,034,486.68/1,933.93
  6. Step 6: Final answer
    x = 1,052.00

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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.