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Finding the Fourth Proportional to 2,199.66, 3,296.61 and 900.42

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Solution

The fourth proportional to 2,199.66, 3,296.61 and 900.42 is: 1,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.66 : 3,296.61 = 900.42 : x
  2. Step 2: Convert to fraction form
    2,199.66/3,296.61 = 900.42/x
  3. Step 3: Cross multiply
    2,199.66x = 3,296.61 × 900.42
  4. Step 4: Simplify right side
    2,199.66x = 2,968,333.58
  5. Step 5: Solve for x
    x = 2,968,333.58/2,199.66
  6. Step 6: Final answer
    x = 1,349.45

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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.