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Finding the Fourth Proportional to 2,870.17, 4,305.08 and 922.22

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Solution

The fourth proportional to 2,870.17, 4,305.08 and 922.22 is: 1,383.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.17 : 4,305.08 = 922.22 : x
  2. Step 2: Convert to fraction form
    2,870.17/4,305.08 = 922.22/x
  3. Step 3: Cross multiply
    2,870.17x = 4,305.08 × 922.22
  4. Step 4: Simplify right side
    2,870.17x = 3,970,227.80
  5. Step 5: Solve for x
    x = 3,970,227.80/2,870.17
  6. Step 6: Final answer
    x = 1,383.27

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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.