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Finding the Fourth Proportional to 2,939.40, 4,409.32 and 990.96

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Solution

The fourth proportional to 2,939.40, 4,409.32 and 990.96 is: 1,486.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.40 : 4,409.32 = 990.96 : x
  2. Step 2: Convert to fraction form
    2,939.40/4,409.32 = 990.96/x
  3. Step 3: Cross multiply
    2,939.40x = 4,409.32 × 990.96
  4. Step 4: Simplify right side
    2,939.40x = 4,369,459.75
  5. Step 5: Solve for x
    x = 4,369,459.75/2,939.40
  6. Step 6: Final answer
    x = 1,486.51

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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.