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Finding the Fourth Proportional to 2,129.81, 3,195.62 and 897.49

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Solution

The fourth proportional to 2,129.81, 3,195.62 and 897.49 is: 1,346.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.81 : 3,195.62 = 897.49 : x
  2. Step 2: Convert to fraction form
    2,129.81/3,195.62 = 897.49/x
  3. Step 3: Cross multiply
    2,129.81x = 3,195.62 × 897.49
  4. Step 4: Simplify right side
    2,129.81x = 2,868,036.99
  5. Step 5: Solve for x
    x = 2,868,036.99/2,129.81
  6. Step 6: Final answer
    x = 1,346.62

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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.