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Finding the Fourth Proportional to 2,178.93, 3,268.32 and 535.44

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Solution

The fourth proportional to 2,178.93, 3,268.32 and 535.44 is: 803.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.93 : 3,268.32 = 535.44 : x
  2. Step 2: Convert to fraction form
    2,178.93/3,268.32 = 535.44/x
  3. Step 3: Cross multiply
    2,178.93x = 3,268.32 × 535.44
  4. Step 4: Simplify right side
    2,178.93x = 1,749,989.26
  5. Step 5: Solve for x
    x = 1,749,989.26/2,178.93
  6. Step 6: Final answer
    x = 803.14

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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.