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Finding the Fourth Proportional to 3,268.71, 4,899.42 and 1,417.05

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Solution

The fourth proportional to 3,268.71, 4,899.42 and 1,417.05 is: 2,123.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.71 : 4,899.42 = 1,417.05 : x
  2. Step 2: Convert to fraction form
    3,268.71/4,899.42 = 1,417.05/x
  3. Step 3: Cross multiply
    3,268.71x = 4,899.42 × 1,417.05
  4. Step 4: Simplify right side
    3,268.71x = 6,942,723.11
  5. Step 5: Solve for x
    x = 6,942,723.11/3,268.71
  6. Step 6: Final answer
    x = 2,123.99

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Why These Related Problems?

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