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Finding the Fourth Proportional to 3,323.10, 4,984.91 and 857.92

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Solution

The fourth proportional to 3,323.10, 4,984.91 and 857.92 is: 1,286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.10 : 4,984.91 = 857.92 : x
  2. Step 2: Convert to fraction form
    3,323.10/4,984.91 = 857.92/x
  3. Step 3: Cross multiply
    3,323.10x = 4,984.91 × 857.92
  4. Step 4: Simplify right side
    3,323.10x = 4,276,637.24
  5. Step 5: Solve for x
    x = 4,276,637.24/3,323.10
  6. Step 6: Final answer
    x = 1,286.94

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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.