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Finding the Fourth Proportional to 2,798.58, 4,197.87 and 1,154.69

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Solution

The fourth proportional to 2,798.58, 4,197.87 and 1,154.69 is: 1,732.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.58 : 4,197.87 = 1,154.69 : x
  2. Step 2: Convert to fraction form
    2,798.58/4,197.87 = 1,154.69/x
  3. Step 3: Cross multiply
    2,798.58x = 4,197.87 × 1,154.69
  4. Step 4: Simplify right side
    2,798.58x = 4,847,217.52
  5. Step 5: Solve for x
    x = 4,847,217.52/2,798.58
  6. Step 6: Final answer
    x = 1,732.03

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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.