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Finding the Fourth Proportional to 3,149.64, 4,345.92 and 1,823.04

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Solution

The fourth proportional to 3,149.64, 4,345.92 and 1,823.04 is: 2,515.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.64 : 4,345.92 = 1,823.04 : x
  2. Step 2: Convert to fraction form
    3,149.64/4,345.92 = 1,823.04/x
  3. Step 3: Cross multiply
    3,149.64x = 4,345.92 × 1,823.04
  4. Step 4: Simplify right side
    3,149.64x = 7,922,786.00
  5. Step 5: Solve for x
    x = 7,922,786.00/3,149.64
  6. Step 6: Final answer
    x = 2,515.46

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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.