Home / 2,209.93-3,312.91-822.29

Finding the Fourth Proportional to 2,209.93, 3,312.91 and 822.29

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Solution

The fourth proportional to 2,209.93, 3,312.91 and 822.29 is: 1,232.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.93 : 3,312.91 = 822.29 : x
  2. Step 2: Convert to fraction form
    2,209.93/3,312.91 = 822.29/x
  3. Step 3: Cross multiply
    2,209.93x = 3,312.91 × 822.29
  4. Step 4: Simplify right side
    2,209.93x = 2,724,178.99
  5. Step 5: Solve for x
    x = 2,724,178.99/2,209.93
  6. Step 6: Final answer
    x = 1,232.70

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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.