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Finding the Fourth Proportional to 3,199.80, 4,415.84 and 1,873.56

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Solution

The fourth proportional to 3,199.80, 4,415.84 and 1,873.56 is: 2,585.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.80 : 4,415.84 = 1,873.56 : x
  2. Step 2: Convert to fraction form
    3,199.80/4,415.84 = 1,873.56/x
  3. Step 3: Cross multiply
    3,199.80x = 4,415.84 × 1,873.56
  4. Step 4: Simplify right side
    3,199.80x = 8,273,341.19
  5. Step 5: Solve for x
    x = 8,273,341.19/3,199.80
  6. Step 6: Final answer
    x = 2,585.58

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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.