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Finding the Fourth Proportional to 2,053.76, 2,833.79 and 1,169.54

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Solution

The fourth proportional to 2,053.76, 2,833.79 and 1,169.54 is: 1,613.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.76 : 2,833.79 = 1,169.54 : x
  2. Step 2: Convert to fraction form
    2,053.76/2,833.79 = 1,169.54/x
  3. Step 3: Cross multiply
    2,053.76x = 2,833.79 × 1,169.54
  4. Step 4: Simplify right side
    2,053.76x = 3,314,221.37
  5. Step 5: Solve for x
    x = 3,314,221.37/2,053.76
  6. Step 6: Final answer
    x = 1,613.74

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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.