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Finding the Fourth Proportional to 1,616.78, 2,425.46 and 521.42

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Solution

The fourth proportional to 1,616.78, 2,425.46 and 521.42 is: 782.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.78 : 2,425.46 = 521.42 : x
  2. Step 2: Convert to fraction form
    1,616.78/2,425.46 = 521.42/x
  3. Step 3: Cross multiply
    1,616.78x = 2,425.46 × 521.42
  4. Step 4: Simplify right side
    1,616.78x = 1,264,683.35
  5. Step 5: Solve for x
    x = 1,264,683.35/1,616.78
  6. Step 6: Final answer
    x = 782.22

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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.