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Finding the Fourth Proportional to 3,416.77, 4,714.20 and 1,924.60

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Solution

The fourth proportional to 3,416.77, 4,714.20 and 1,924.60 is: 2,655.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.77 : 4,714.20 = 1,924.60 : x
  2. Step 2: Convert to fraction form
    3,416.77/4,714.20 = 1,924.60/x
  3. Step 3: Cross multiply
    3,416.77x = 4,714.20 × 1,924.60
  4. Step 4: Simplify right side
    3,416.77x = 9,072,949.32
  5. Step 5: Solve for x
    x = 9,072,949.32/3,416.77
  6. Step 6: Final answer
    x = 2,655.42

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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.