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Finding the Fourth Proportional to 3,416.46, 4,714.74 and 1,924.41

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Solution

The fourth proportional to 3,416.46, 4,714.74 and 1,924.41 is: 2,655.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.46 : 4,714.74 = 1,924.41 : x
  2. Step 2: Convert to fraction form
    3,416.46/4,714.74 = 1,924.41/x
  3. Step 3: Cross multiply
    3,416.46x = 4,714.74 × 1,924.41
  4. Step 4: Simplify right side
    3,416.46x = 9,073,092.80
  5. Step 5: Solve for x
    x = 9,073,092.80/3,416.46
  6. Step 6: Final answer
    x = 2,655.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.