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Finding the Fourth Proportional to 2,430.27, 3,355.13 and 1,634.92

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Solution

The fourth proportional to 2,430.27, 3,355.13 and 1,634.92 is: 2,257.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.27 : 3,355.13 = 1,634.92 : x
  2. Step 2: Convert to fraction form
    2,430.27/3,355.13 = 1,634.92/x
  3. Step 3: Cross multiply
    2,430.27x = 3,355.13 × 1,634.92
  4. Step 4: Simplify right side
    2,430.27x = 5,485,364.84
  5. Step 5: Solve for x
    x = 5,485,364.84/2,430.27
  6. Step 6: Final answer
    x = 2,257.10

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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.