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Finding the Fourth Proportional to 1,798.92, 2,697.36 and 824.48

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Solution

The fourth proportional to 1,798.92, 2,697.36 and 824.48 is: 1,236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.92 : 2,697.36 = 824.48 : x
  2. Step 2: Convert to fraction form
    1,798.92/2,697.36 = 824.48/x
  3. Step 3: Cross multiply
    1,798.92x = 2,697.36 × 824.48
  4. Step 4: Simplify right side
    1,798.92x = 2,223,919.37
  5. Step 5: Solve for x
    x = 2,223,919.37/1,798.92
  6. Step 6: Final answer
    x = 1,236.25

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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.