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Finding the Fourth Proportional to 2,502.11, 3,454.02 and 1,904.69

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Solution

The fourth proportional to 2,502.11, 3,454.02 and 1,904.69 is: 2,629.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.11 : 3,454.02 = 1,904.69 : x
  2. Step 2: Convert to fraction form
    2,502.11/3,454.02 = 1,904.69/x
  3. Step 3: Cross multiply
    2,502.11x = 3,454.02 × 1,904.69
  4. Step 4: Simplify right side
    2,502.11x = 6,578,845.99
  5. Step 5: Solve for x
    x = 6,578,845.99/2,502.11
  6. Step 6: Final answer
    x = 2,629.32

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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.