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Finding the Fourth Proportional to 2,849.04, 4,267.08 and 2,560.68

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Solution

The fourth proportional to 2,849.04, 4,267.08 and 2,560.68 is: 3,835.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.04 : 4,267.08 = 2,560.68 : x
  2. Step 2: Convert to fraction form
    2,849.04/4,267.08 = 2,560.68/x
  3. Step 3: Cross multiply
    2,849.04x = 4,267.08 × 2,560.68
  4. Step 4: Simplify right side
    2,849.04x = 10,926,626.41
  5. Step 5: Solve for x
    x = 10,926,626.41/2,849.04
  6. Step 6: Final answer
    x = 3,835.20

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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.