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Finding the Fourth Proportional to 2,046.64, 2,820.92 and 1,567.92

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Solution

The fourth proportional to 2,046.64, 2,820.92 and 1,567.92 is: 2,161.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.64 : 2,820.92 = 1,567.92 : x
  2. Step 2: Convert to fraction form
    2,046.64/2,820.92 = 1,567.92/x
  3. Step 3: Cross multiply
    2,046.64x = 2,820.92 × 1,567.92
  4. Step 4: Simplify right side
    2,046.64x = 4,422,976.89
  5. Step 5: Solve for x
    x = 4,422,976.89/2,046.64
  6. Step 6: Final answer
    x = 2,161.09

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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.