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Finding the Fourth Proportional to 2,127.13, 3,190.86 and 666.28

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Solution

The fourth proportional to 2,127.13, 3,190.86 and 666.28 is: 999.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.13 : 3,190.86 = 666.28 : x
  2. Step 2: Convert to fraction form
    2,127.13/3,190.86 = 666.28/x
  3. Step 3: Cross multiply
    2,127.13x = 3,190.86 × 666.28
  4. Step 4: Simplify right side
    2,127.13x = 2,125,992.24
  5. Step 5: Solve for x
    x = 2,125,992.24/2,127.13
  6. Step 6: Final answer
    x = 999.47

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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.