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Finding the Fourth Proportional to 2,502.94, 3,454.04 and 1,383.94

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Solution

The fourth proportional to 2,502.94, 3,454.04 and 1,383.94 is: 1,909.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.94 : 3,454.04 = 1,383.94 : x
  2. Step 2: Convert to fraction form
    2,502.94/3,454.04 = 1,383.94/x
  3. Step 3: Cross multiply
    2,502.94x = 3,454.04 × 1,383.94
  4. Step 4: Simplify right side
    2,502.94x = 4,780,184.12
  5. Step 5: Solve for x
    x = 4,780,184.12/2,502.94
  6. Step 6: Final answer
    x = 1,909.83

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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.