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Finding the Fourth Proportional to 3,149.01, 4,344.98 and 1,822.64

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Solution

The fourth proportional to 3,149.01, 4,344.98 and 1,822.64 is: 2,514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.01 : 4,344.98 = 1,822.64 : x
  2. Step 2: Convert to fraction form
    3,149.01/4,344.98 = 1,822.64/x
  3. Step 3: Cross multiply
    3,149.01x = 4,344.98 × 1,822.64
  4. Step 4: Simplify right side
    3,149.01x = 7,919,303.51
  5. Step 5: Solve for x
    x = 7,919,303.51/3,149.01
  6. Step 6: Final answer
    x = 2,514.85

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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.