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Finding the Fourth Proportional to 2,129.94, 3,193.56 and 898.20

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Solution

The fourth proportional to 2,129.94, 3,193.56 and 898.20 is: 1,346.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.94 : 3,193.56 = 898.20 : x
  2. Step 2: Convert to fraction form
    2,129.94/3,193.56 = 898.20/x
  3. Step 3: Cross multiply
    2,129.94x = 3,193.56 × 898.20
  4. Step 4: Simplify right side
    2,129.94x = 2,868,455.59
  5. Step 5: Solve for x
    x = 2,868,455.59/2,129.94
  6. Step 6: Final answer
    x = 1,346.73

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1.5x scale

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.