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Finding the Fourth Proportional to 3,043.77, 4,196.21 and 1,924.14

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Solution

The fourth proportional to 3,043.77, 4,196.21 and 1,924.14 is: 2,652.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.77 : 4,196.21 = 1,924.14 : x
  2. Step 2: Convert to fraction form
    3,043.77/4,196.21 = 1,924.14/x
  3. Step 3: Cross multiply
    3,043.77x = 4,196.21 × 1,924.14
  4. Step 4: Simplify right side
    3,043.77x = 8,074,095.51
  5. Step 5: Solve for x
    x = 8,074,095.51/3,043.77
  6. Step 6: Final answer
    x = 2,652.66

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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.