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Finding the Fourth Proportional to 3,092.30, 4,639.17 and 901.07

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Solution

The fourth proportional to 3,092.30, 4,639.17 and 901.07 is: 1,351.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.30 : 4,639.17 = 901.07 : x
  2. Step 2: Convert to fraction form
    3,092.30/4,639.17 = 901.07/x
  3. Step 3: Cross multiply
    3,092.30x = 4,639.17 × 901.07
  4. Step 4: Simplify right side
    3,092.30x = 4,180,216.91
  5. Step 5: Solve for x
    x = 4,180,216.91/3,092.30
  6. Step 6: Final answer
    x = 1,351.81

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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.