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Finding the Fourth Proportional to 2,241.98, 3,094.20 and 1,357.86

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Solution

The fourth proportional to 2,241.98, 3,094.20 and 1,357.86 is: 1,874.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.98 : 3,094.20 = 1,357.86 : x
  2. Step 2: Convert to fraction form
    2,241.98/3,094.20 = 1,357.86/x
  3. Step 3: Cross multiply
    2,241.98x = 3,094.20 × 1,357.86
  4. Step 4: Simplify right side
    2,241.98x = 4,201,490.41
  5. Step 5: Solve for x
    x = 4,201,490.41/2,241.98
  6. Step 6: Final answer
    x = 1,874.01

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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.