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Finding the Fourth Proportional to 2,879.42, 4,314.99 and 1,416.92

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Solution

The fourth proportional to 2,879.42, 4,314.99 and 1,416.92 is: 2,123.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.42 : 4,314.99 = 1,416.92 : x
  2. Step 2: Convert to fraction form
    2,879.42/4,314.99 = 1,416.92/x
  3. Step 3: Cross multiply
    2,879.42x = 4,314.99 × 1,416.92
  4. Step 4: Simplify right side
    2,879.42x = 6,113,995.63
  5. Step 5: Solve for x
    x = 6,113,995.63/2,879.42
  6. Step 6: Final answer
    x = 2,123.34

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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.