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Finding the Fourth Proportional to 2,939.84, 4,409.72 and 1,184.96

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Solution

The fourth proportional to 2,939.84, 4,409.72 and 1,184.96 is: 1,777.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.84 : 4,409.72 = 1,184.96 : x
  2. Step 2: Convert to fraction form
    2,939.84/4,409.72 = 1,184.96/x
  3. Step 3: Cross multiply
    2,939.84x = 4,409.72 × 1,184.96
  4. Step 4: Simplify right side
    2,939.84x = 5,225,341.81
  5. Step 5: Solve for x
    x = 5,225,341.81/2,939.84
  6. Step 6: Final answer
    x = 1,777.42

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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.