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Finding the Fourth Proportional to 2,220.23, 3,328.04 and 832.58

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Solution

The fourth proportional to 2,220.23, 3,328.04 and 832.58 is: 1,248.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220.23 : 3,328.04 = 832.58 : x
  2. Step 2: Convert to fraction form
    2,220.23/3,328.04 = 832.58/x
  3. Step 3: Cross multiply
    2,220.23x = 3,328.04 × 832.58
  4. Step 4: Simplify right side
    2,220.23x = 2,770,869.94
  5. Step 5: Solve for x
    x = 2,770,869.94/2,220.23
  6. Step 6: Final answer
    x = 1,248.01

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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.