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Finding the Fourth Proportional to 1,780.92, 2,457.77 and 984.24

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Solution

The fourth proportional to 1,780.92, 2,457.77 and 984.24 is: 1,358.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.92 : 2,457.77 = 984.24 : x
  2. Step 2: Convert to fraction form
    1,780.92/2,457.77 = 984.24/x
  3. Step 3: Cross multiply
    1,780.92x = 2,457.77 × 984.24
  4. Step 4: Simplify right side
    1,780.92x = 2,419,035.54
  5. Step 5: Solve for x
    x = 2,419,035.54/1,780.92
  6. Step 6: Final answer
    x = 1,358.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.