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Finding the Fourth Proportional to 2,130.88, 2,940.96 and 1,781.44

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Solution

The fourth proportional to 2,130.88, 2,940.96 and 1,781.44 is: 2,458.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.88 : 2,940.96 = 1,781.44 : x
  2. Step 2: Convert to fraction form
    2,130.88/2,940.96 = 1,781.44/x
  3. Step 3: Cross multiply
    2,130.88x = 2,940.96 × 1,781.44
  4. Step 4: Simplify right side
    2,130.88x = 5,239,143.78
  5. Step 5: Solve for x
    x = 5,239,143.78/2,130.88
  6. Step 6: Final answer
    x = 2,458.68

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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.