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Finding the Fourth Proportional to 2,242.95, 3,094.44 and 1,358.43

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Solution

The fourth proportional to 2,242.95, 3,094.44 and 1,358.43 is: 1,874.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.95 : 3,094.44 = 1,358.43 : x
  2. Step 2: Convert to fraction form
    2,242.95/3,094.44 = 1,358.43/x
  3. Step 3: Cross multiply
    2,242.95x = 3,094.44 × 1,358.43
  4. Step 4: Simplify right side
    2,242.95x = 4,203,580.13
  5. Step 5: Solve for x
    x = 4,203,580.13/2,242.95
  6. Step 6: Final answer
    x = 1,874.13

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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.