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Finding the Fourth Proportional to 1,888.90, 2,833.96 and 849.46

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Solution

The fourth proportional to 1,888.90, 2,833.96 and 849.46 is: 1,274.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.90 : 2,833.96 = 849.46 : x
  2. Step 2: Convert to fraction form
    1,888.90/2,833.96 = 849.46/x
  3. Step 3: Cross multiply
    1,888.90x = 2,833.96 × 849.46
  4. Step 4: Simplify right side
    1,888.90x = 2,407,335.66
  5. Step 5: Solve for x
    x = 2,407,335.66/1,888.90
  6. Step 6: Final answer
    x = 1,274.46

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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.