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Finding the Fourth Proportional to 2,127.30, 3,192.18 and 894.60

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Solution

The fourth proportional to 2,127.30, 3,192.18 and 894.60 is: 1,342.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.30 : 3,192.18 = 894.60 : x
  2. Step 2: Convert to fraction form
    2,127.30/3,192.18 = 894.60/x
  3. Step 3: Cross multiply
    2,127.30x = 3,192.18 × 894.60
  4. Step 4: Simplify right side
    2,127.30x = 2,855,724.23
  5. Step 5: Solve for x
    x = 2,855,724.23/2,127.30
  6. Step 6: Final answer
    x = 1,342.42

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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.