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Finding the Fourth Proportional to 1,542.84, 2,314.28 and 388.64

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Solution

The fourth proportional to 1,542.84, 2,314.28 and 388.64 is: 582.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.84 : 2,314.28 = 388.64 : x
  2. Step 2: Convert to fraction form
    1,542.84/2,314.28 = 388.64/x
  3. Step 3: Cross multiply
    1,542.84x = 2,314.28 × 388.64
  4. Step 4: Simplify right side
    1,542.84x = 899,421.78
  5. Step 5: Solve for x
    x = 899,421.78/1,542.84
  6. Step 6: Final answer
    x = 582.97

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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.