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Finding the Fourth Proportional to 4,169.57, 6,254.34 and 1,977.10

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Solution

The fourth proportional to 4,169.57, 6,254.34 and 1,977.10 is: 2,965.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.57 : 6,254.34 = 1,977.10 : x
  2. Step 2: Convert to fraction form
    4,169.57/6,254.34 = 1,977.10/x
  3. Step 3: Cross multiply
    4,169.57x = 6,254.34 × 1,977.10
  4. Step 4: Simplify right side
    4,169.57x = 12,365,447.39
  5. Step 5: Solve for x
    x = 12,365,447.39/4,169.57
  6. Step 6: Final answer
    x = 2,965.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.