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Finding the Fourth Proportional to 2,735.79, 4,103.23 and 888.22

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Solution

The fourth proportional to 2,735.79, 4,103.23 and 888.22 is: 1,332.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.79 : 4,103.23 = 888.22 : x
  2. Step 2: Convert to fraction form
    2,735.79/4,103.23 = 888.22/x
  3. Step 3: Cross multiply
    2,735.79x = 4,103.23 × 888.22
  4. Step 4: Simplify right side
    2,735.79x = 3,644,570.95
  5. Step 5: Solve for x
    x = 3,644,570.95/2,735.79
  6. Step 6: Final answer
    x = 1,332.18

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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.