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Finding the Fourth Proportional to 3,416.52, 4,714.88 and 2,019.28

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Solution

The fourth proportional to 3,416.52, 4,714.88 and 2,019.28 is: 2,786.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.52 : 4,714.88 = 2,019.28 : x
  2. Step 2: Convert to fraction form
    3,416.52/4,714.88 = 2,019.28/x
  3. Step 3: Cross multiply
    3,416.52x = 4,714.88 × 2,019.28
  4. Step 4: Simplify right side
    3,416.52x = 9,520,662.89
  5. Step 5: Solve for x
    x = 9,520,662.89/3,416.52
  6. Step 6: Final answer
    x = 2,786.66

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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.