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Finding the Fourth Proportional to 2,178.68, 3,268.02 and 535.22

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Solution

The fourth proportional to 2,178.68, 3,268.02 and 535.22 is: 802.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.68 : 3,268.02 = 535.22 : x
  2. Step 2: Convert to fraction form
    2,178.68/3,268.02 = 535.22/x
  3. Step 3: Cross multiply
    2,178.68x = 3,268.02 × 535.22
  4. Step 4: Simplify right side
    2,178.68x = 1,749,109.66
  5. Step 5: Solve for x
    x = 1,749,109.66/2,178.68
  6. Step 6: Final answer
    x = 802.83

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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.