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Finding the Fourth Proportional to 3,094.22, 4,642.50 and 1,862.49

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Solution

The fourth proportional to 3,094.22, 4,642.50 and 1,862.49 is: 2,794.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.22 : 4,642.50 = 1,862.49 : x
  2. Step 2: Convert to fraction form
    3,094.22/4,642.50 = 1,862.49/x
  3. Step 3: Cross multiply
    3,094.22x = 4,642.50 × 1,862.49
  4. Step 4: Simplify right side
    3,094.22x = 8,646,609.83
  5. Step 5: Solve for x
    x = 8,646,609.83/3,094.22
  6. Step 6: Final answer
    x = 2,794.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.