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Finding the Fourth Proportional to 2,569.17, 3,853.77 and 621.37

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Solution

The fourth proportional to 2,569.17, 3,853.77 and 621.37 is: 932.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.17 : 3,853.77 = 621.37 : x
  2. Step 2: Convert to fraction form
    2,569.17/3,853.77 = 621.37/x
  3. Step 3: Cross multiply
    2,569.17x = 3,853.77 × 621.37
  4. Step 4: Simplify right side
    2,569.17x = 2,394,613.96
  5. Step 5: Solve for x
    x = 2,394,613.96/2,569.17
  6. Step 6: Final answer
    x = 932.06

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1.5x scale

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.