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Finding the Fourth Proportional to 2,128.95, 3,192.62 and 742.23

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Solution

The fourth proportional to 2,128.95, 3,192.62 and 742.23 is: 1,113.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.95 : 3,192.62 = 742.23 : x
  2. Step 2: Convert to fraction form
    2,128.95/3,192.62 = 742.23/x
  3. Step 3: Cross multiply
    2,128.95x = 3,192.62 × 742.23
  4. Step 4: Simplify right side
    2,128.95x = 2,369,654.63
  5. Step 5: Solve for x
    x = 2,369,654.63/2,128.95
  6. Step 6: Final answer
    x = 1,113.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.