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Finding the Fourth Proportional to 2,199.32, 3,298.84 and 900.76

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Solution

The fourth proportional to 2,199.32, 3,298.84 and 900.76 is: 1,351.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.32 : 3,298.84 = 900.76 : x
  2. Step 2: Convert to fraction form
    2,199.32/3,298.84 = 900.76/x
  3. Step 3: Cross multiply
    2,199.32x = 3,298.84 × 900.76
  4. Step 4: Simplify right side
    2,199.32x = 2,971,463.12
  5. Step 5: Solve for x
    x = 2,971,463.12/2,199.32
  6. Step 6: Final answer
    x = 1,351.08

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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.