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Finding the Fourth Proportional to 2,242.70, 3,094.93 and 1,357.87

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Solution

The fourth proportional to 2,242.70, 3,094.93 and 1,357.87 is: 1,873.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.70 : 3,094.93 = 1,357.87 : x
  2. Step 2: Convert to fraction form
    2,242.70/3,094.93 = 1,357.87/x
  3. Step 3: Cross multiply
    2,242.70x = 3,094.93 × 1,357.87
  4. Step 4: Simplify right side
    2,242.70x = 4,202,497.12
  5. Step 5: Solve for x
    x = 4,202,497.12/2,242.70
  6. Step 6: Final answer
    x = 1,873.86

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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.