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Finding the Fourth Proportional to 3,416.50, 4,714.92 and 1,924.50

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Solution

The fourth proportional to 3,416.50, 4,714.92 and 1,924.50 is: 2,655.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.50 : 4,714.92 = 1,924.50 : x
  2. Step 2: Convert to fraction form
    3,416.50/4,714.92 = 1,924.50/x
  3. Step 3: Cross multiply
    3,416.50x = 4,714.92 × 1,924.50
  4. Step 4: Simplify right side
    3,416.50x = 9,073,863.54
  5. Step 5: Solve for x
    x = 9,073,863.54/3,416.50
  6. Step 6: Final answer
    x = 2,655.89

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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.