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Finding the Fourth Proportional to 1,634.94, 2,452.65 and 539.42

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Solution

The fourth proportional to 1,634.94, 2,452.65 and 539.42 is: 809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.94 : 2,452.65 = 539.42 : x
  2. Step 2: Convert to fraction form
    1,634.94/2,452.65 = 539.42/x
  3. Step 3: Cross multiply
    1,634.94x = 2,452.65 × 539.42
  4. Step 4: Simplify right side
    1,634.94x = 1,323,008.46
  5. Step 5: Solve for x
    x = 1,323,008.46/1,634.94
  6. Step 6: Final answer
    x = 809.21

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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.