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Finding the Fourth Proportional to 2,199.32, 3,298.37 and 883.07

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Solution

The fourth proportional to 2,199.32, 3,298.37 and 883.07 is: 1,324.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.32 : 3,298.37 = 883.07 : x
  2. Step 2: Convert to fraction form
    2,199.32/3,298.37 = 883.07/x
  3. Step 3: Cross multiply
    2,199.32x = 3,298.37 × 883.07
  4. Step 4: Simplify right side
    2,199.32x = 2,912,670.69
  5. Step 5: Solve for x
    x = 2,912,670.69/2,199.32
  6. Step 6: Final answer
    x = 1,324.35

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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.