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Finding the Fourth Proportional to 1,322.92, 1,974.65 and 1,150.80

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Solution

The fourth proportional to 1,322.92, 1,974.65 and 1,150.80 is: 1,717.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.92 : 1,974.65 = 1,150.80 : x
  2. Step 2: Convert to fraction form
    1,322.92/1,974.65 = 1,150.80/x
  3. Step 3: Cross multiply
    1,322.92x = 1,974.65 × 1,150.80
  4. Step 4: Simplify right side
    1,322.92x = 2,272,427.22
  5. Step 5: Solve for x
    x = 2,272,427.22/1,322.92
  6. Step 6: Final answer
    x = 1,717.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.