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Finding the Fourth Proportional to 2,052.84, 2,832.99 and 1,121.34

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Solution

The fourth proportional to 2,052.84, 2,832.99 and 1,121.34 is: 1,547.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.84 : 2,832.99 = 1,121.34 : x
  2. Step 2: Convert to fraction form
    2,052.84/2,832.99 = 1,121.34/x
  3. Step 3: Cross multiply
    2,052.84x = 2,832.99 × 1,121.34
  4. Step 4: Simplify right side
    2,052.84x = 3,176,757.73
  5. Step 5: Solve for x
    x = 3,176,757.73/2,052.84
  6. Step 6: Final answer
    x = 1,547.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.