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Finding the Fourth Proportional to 3,416.56, 4,714.86 and 2,019.40

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Solution

The fourth proportional to 3,416.56, 4,714.86 and 2,019.40 is: 2,786.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.56 : 4,714.86 = 2,019.40 : x
  2. Step 2: Convert to fraction form
    3,416.56/4,714.86 = 2,019.40/x
  3. Step 3: Cross multiply
    3,416.56x = 4,714.86 × 2,019.40
  4. Step 4: Simplify right side
    3,416.56x = 9,521,188.28
  5. Step 5: Solve for x
    x = 9,521,188.28/3,416.56
  6. Step 6: Final answer
    x = 2,786.78

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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.