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Finding the Fourth Proportional to 3,416.57, 4,714.99 and 1,904.27

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Solution

The fourth proportional to 3,416.57, 4,714.99 and 1,904.27 is: 2,627.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.57 : 4,714.99 = 1,904.27 : x
  2. Step 2: Convert to fraction form
    3,416.57/4,714.99 = 1,904.27/x
  3. Step 3: Cross multiply
    3,416.57x = 4,714.99 × 1,904.27
  4. Step 4: Simplify right side
    3,416.57x = 8,978,590.43
  5. Step 5: Solve for x
    x = 8,978,590.43/3,416.57
  6. Step 6: Final answer
    x = 2,627.95

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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.