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Finding the Fourth Proportional to 2,175.42, 2,999.43 and 1,894.62

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Solution

The fourth proportional to 2,175.42, 2,999.43 and 1,894.62 is: 2,612.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.42 : 2,999.43 = 1,894.62 : x
  2. Step 2: Convert to fraction form
    2,175.42/2,999.43 = 1,894.62/x
  3. Step 3: Cross multiply
    2,175.42x = 2,999.43 × 1,894.62
  4. Step 4: Simplify right side
    2,175.42x = 5,682,780.07
  5. Step 5: Solve for x
    x = 5,682,780.07/2,175.42
  6. Step 6: Final answer
    x = 2,612.27

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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.