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Finding the Fourth Proportional to 1,888.56, 2,833.65 and 1,196.01

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Solution

The fourth proportional to 1,888.56, 2,833.65 and 1,196.01 is: 1,794.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.56 : 2,833.65 = 1,196.01 : x
  2. Step 2: Convert to fraction form
    1,888.56/2,833.65 = 1,196.01/x
  3. Step 3: Cross multiply
    1,888.56x = 2,833.65 × 1,196.01
  4. Step 4: Simplify right side
    1,888.56x = 3,389,073.74
  5. Step 5: Solve for x
    x = 3,389,073.74/1,888.56
  6. Step 6: Final answer
    x = 1,794.53

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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.