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Finding the Fourth Proportional to 2,199.45, 3,298.67 and 639.45

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Solution

The fourth proportional to 2,199.45, 3,298.67 and 639.45 is: 959.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.45 : 3,298.67 = 639.45 : x
  2. Step 2: Convert to fraction form
    2,199.45/3,298.67 = 639.45/x
  3. Step 3: Cross multiply
    2,199.45x = 3,298.67 × 639.45
  4. Step 4: Simplify right side
    2,199.45x = 2,109,334.53
  5. Step 5: Solve for x
    x = 2,109,334.53/2,199.45
  6. Step 6: Final answer
    x = 959.03

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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.