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Finding the Fourth Proportional to 2,129.23, 2,940.20 and 1,432.63

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Solution

The fourth proportional to 2,129.23, 2,940.20 and 1,432.63 is: 1,978.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.23 : 2,940.20 = 1,432.63 : x
  2. Step 2: Convert to fraction form
    2,129.23/2,940.20 = 1,432.63/x
  3. Step 3: Cross multiply
    2,129.23x = 2,940.20 × 1,432.63
  4. Step 4: Simplify right side
    2,129.23x = 4,212,218.73
  5. Step 5: Solve for x
    x = 4,212,218.73/2,129.23
  6. Step 6: Final answer
    x = 1,978.28

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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.