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Finding the Fourth Proportional to 1,798.92, 2,684.61 and 1,565.64

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Solution

The fourth proportional to 1,798.92, 2,684.61 and 1,565.64 is: 2,336.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.92 : 2,684.61 = 1,565.64 : x
  2. Step 2: Convert to fraction form
    1,798.92/2,684.61 = 1,565.64/x
  3. Step 3: Cross multiply
    1,798.92x = 2,684.61 × 1,565.64
  4. Step 4: Simplify right side
    1,798.92x = 4,203,132.80
  5. Step 5: Solve for x
    x = 4,203,132.80/1,798.92
  6. Step 6: Final answer
    x = 2,336.48

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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.