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Finding the Fourth Proportional to 2,123.17, 3,184.67 and 661.93

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Solution

The fourth proportional to 2,123.17, 3,184.67 and 661.93 is: 992.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.17 : 3,184.67 = 661.93 : x
  2. Step 2: Convert to fraction form
    2,123.17/3,184.67 = 661.93/x
  3. Step 3: Cross multiply
    2,123.17x = 3,184.67 × 661.93
  4. Step 4: Simplify right side
    2,123.17x = 2,108,022.31
  5. Step 5: Solve for x
    x = 2,108,022.31/2,123.17
  6. Step 6: Final answer
    x = 992.87

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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.