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Finding the Fourth Proportional to 2,163, 3,242.88 and 701.28

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Solution

The fourth proportional to 2,163, 3,242.88 and 701.28 is: 1,051.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163 : 3,242.88 = 701.28 : x
  2. Step 2: Convert to fraction form
    2,163/3,242.88 = 701.28/x
  3. Step 3: Cross multiply
    2,163x = 3,242.88 × 701.28
  4. Step 4: Simplify right side
    2,163x = 2,274,166.89
  5. Step 5: Solve for x
    x = 2,274,166.89/2,163
  6. Step 6: Final answer
    x = 1,051.39

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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.