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Finding the Fourth Proportional to 2,093.42, 3,140.02 and 533.48

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Solution

The fourth proportional to 2,093.42, 3,140.02 and 533.48 is: 800.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.42 : 3,140.02 = 533.48 : x
  2. Step 2: Convert to fraction form
    2,093.42/3,140.02 = 533.48/x
  3. Step 3: Cross multiply
    2,093.42x = 3,140.02 × 533.48
  4. Step 4: Simplify right side
    2,093.42x = 1,675,120.84
  5. Step 5: Solve for x
    x = 1,675,120.84/2,093.42
  6. Step 6: Final answer
    x = 800.18

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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.