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Finding the Fourth Proportional to 2,879.14, 3,973.32 and 1,700.20

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Solution

The fourth proportional to 2,879.14, 3,973.32 and 1,700.20 is: 2,346.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.14 : 3,973.32 = 1,700.20 : x
  2. Step 2: Convert to fraction form
    2,879.14/3,973.32 = 1,700.20/x
  3. Step 3: Cross multiply
    2,879.14x = 3,973.32 × 1,700.20
  4. Step 4: Simplify right side
    2,879.14x = 6,755,438.66
  5. Step 5: Solve for x
    x = 6,755,438.66/2,879.14
  6. Step 6: Final answer
    x = 2,346.34

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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.