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Finding the Fourth Proportional to 3,490.91, 5,233.94 and 1,640.25

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Solution

The fourth proportional to 3,490.91, 5,233.94 and 1,640.25 is: 2,459.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.91 : 5,233.94 = 1,640.25 : x
  2. Step 2: Convert to fraction form
    3,490.91/5,233.94 = 1,640.25/x
  3. Step 3: Cross multiply
    3,490.91x = 5,233.94 × 1,640.25
  4. Step 4: Simplify right side
    3,490.91x = 8,584,962.27
  5. Step 5: Solve for x
    x = 8,584,962.27/3,490.91
  6. Step 6: Final answer
    x = 2,459.23

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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.