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Finding the Fourth Proportional to 2,242.82, 3,094.71 and 1,403.26

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Solution

The fourth proportional to 2,242.82, 3,094.71 and 1,403.26 is: 1,936.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.82 : 3,094.71 = 1,403.26 : x
  2. Step 2: Convert to fraction form
    2,242.82/3,094.71 = 1,403.26/x
  3. Step 3: Cross multiply
    2,242.82x = 3,094.71 × 1,403.26
  4. Step 4: Simplify right side
    2,242.82x = 4,342,669.76
  5. Step 5: Solve for x
    x = 4,342,669.76/2,242.82
  6. Step 6: Final answer
    x = 1,936.25

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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.