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Finding the Fourth Proportional to 2,241.61, 3,094.94 and 1,402.65

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Solution

The fourth proportional to 2,241.61, 3,094.94 and 1,402.65 is: 1,936.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.61 : 3,094.94 = 1,402.65 : x
  2. Step 2: Convert to fraction form
    2,241.61/3,094.94 = 1,402.65/x
  3. Step 3: Cross multiply
    2,241.61x = 3,094.94 × 1,402.65
  4. Step 4: Simplify right side
    2,241.61x = 4,341,121.10
  5. Step 5: Solve for x
    x = 4,341,121.10/2,241.61
  6. Step 6: Final answer
    x = 1,936.61

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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.