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Finding the Fourth Proportional to 2,242.42, 3,094.43 and 1,496.27

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Solution

The fourth proportional to 2,242.42, 3,094.43 and 1,496.27 is: 2,064.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.42 : 3,094.43 = 1,496.27 : x
  2. Step 2: Convert to fraction form
    2,242.42/3,094.43 = 1,496.27/x
  3. Step 3: Cross multiply
    2,242.42x = 3,094.43 × 1,496.27
  4. Step 4: Simplify right side
    2,242.42x = 4,630,116.71
  5. Step 5: Solve for x
    x = 4,630,116.71/2,242.42
  6. Step 6: Final answer
    x = 2,064.79

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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.