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Finding the Fourth Proportional to 3,311.64, 4,966.08 and 1,669.08

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Solution

The fourth proportional to 3,311.64, 4,966.08 and 1,669.08 is: 2,502.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.64 : 4,966.08 = 1,669.08 : x
  2. Step 2: Convert to fraction form
    3,311.64/4,966.08 = 1,669.08/x
  3. Step 3: Cross multiply
    3,311.64x = 4,966.08 × 1,669.08
  4. Step 4: Simplify right side
    3,311.64x = 8,288,784.81
  5. Step 5: Solve for x
    x = 8,288,784.81/3,311.64
  6. Step 6: Final answer
    x = 2,502.92

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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.