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Finding the Fourth Proportional to 2,061.64, 3,092.48 and 522.64

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Solution

The fourth proportional to 2,061.64, 3,092.48 and 522.64 is: 783.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.64 : 3,092.48 = 522.64 : x
  2. Step 2: Convert to fraction form
    2,061.64/3,092.48 = 522.64/x
  3. Step 3: Cross multiply
    2,061.64x = 3,092.48 × 522.64
  4. Step 4: Simplify right side
    2,061.64x = 1,616,253.75
  5. Step 5: Solve for x
    x = 1,616,253.75/2,061.64
  6. Step 6: Final answer
    x = 783.97

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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.