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Finding the Fourth Proportional to 2,197.10, 3,295.65 and 898.27

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Solution

The fourth proportional to 2,197.10, 3,295.65 and 898.27 is: 1,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.10 : 3,295.65 = 898.27 : x
  2. Step 2: Convert to fraction form
    2,197.10/3,295.65 = 898.27/x
  3. Step 3: Cross multiply
    2,197.10x = 3,295.65 × 898.27
  4. Step 4: Simplify right side
    2,197.10x = 2,960,367.05
  5. Step 5: Solve for x
    x = 2,960,367.05/2,197.10
  6. Step 6: Final answer
    x = 1,347.40

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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.