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Finding the Fourth Proportional to 2,999.84, 4,499.80 and 1,052.04

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Solution

The fourth proportional to 2,999.84, 4,499.80 and 1,052.04 is: 1,578.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.84 : 4,499.80 = 1,052.04 : x
  2. Step 2: Convert to fraction form
    2,999.84/4,499.80 = 1,052.04/x
  3. Step 3: Cross multiply
    2,999.84x = 4,499.80 × 1,052.04
  4. Step 4: Simplify right side
    2,999.84x = 4,733,964.44
  5. Step 5: Solve for x
    x = 4,733,964.44/2,999.84
  6. Step 6: Final answer
    x = 1,578.07

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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.