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Finding the Fourth Proportional to 2,780.34, 4,168.89 and 1,049.10

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Solution

The fourth proportional to 2,780.34, 4,168.89 and 1,049.10 is: 1,573.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.34 : 4,168.89 = 1,049.10 : x
  2. Step 2: Convert to fraction form
    2,780.34/4,168.89 = 1,049.10/x
  3. Step 3: Cross multiply
    2,780.34x = 4,168.89 × 1,049.10
  4. Step 4: Simplify right side
    2,780.34x = 4,373,582.50
  5. Step 5: Solve for x
    x = 4,373,582.50/2,780.34
  6. Step 6: Final answer
    x = 1,573.04

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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.