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Finding the Fourth Proportional to 2,127.17, 3,190.67 and 665.93

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Solution

The fourth proportional to 2,127.17, 3,190.67 and 665.93 is: 998.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.17 : 3,190.67 = 665.93 : x
  2. Step 2: Convert to fraction form
    2,127.17/3,190.67 = 665.93/x
  3. Step 3: Cross multiply
    2,127.17x = 3,190.67 × 665.93
  4. Step 4: Simplify right side
    2,127.17x = 2,124,762.87
  5. Step 5: Solve for x
    x = 2,124,762.87/2,127.17
  6. Step 6: Final answer
    x = 998.87

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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.