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Finding the Fourth Proportional to 2,199.42, 3,300.93 and 900.90

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Solution

The fourth proportional to 2,199.42, 3,300.93 and 900.90 is: 1,352.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.42 : 3,300.93 = 900.90 : x
  2. Step 2: Convert to fraction form
    2,199.42/3,300.93 = 900.90/x
  3. Step 3: Cross multiply
    2,199.42x = 3,300.93 × 900.90
  4. Step 4: Simplify right side
    2,199.42x = 2,973,807.84
  5. Step 5: Solve for x
    x = 2,973,807.84/2,199.42
  6. Step 6: Final answer
    x = 1,352.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.