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Finding the Fourth Proportional to 2,167.14, 2,990.67 and 1,235.64

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Solution

The fourth proportional to 2,167.14, 2,990.67 and 1,235.64 is: 1,705.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.14 : 2,990.67 = 1,235.64 : x
  2. Step 2: Convert to fraction form
    2,167.14/2,990.67 = 1,235.64/x
  3. Step 3: Cross multiply
    2,167.14x = 2,990.67 × 1,235.64
  4. Step 4: Simplify right side
    2,167.14x = 3,695,391.48
  5. Step 5: Solve for x
    x = 3,695,391.48/2,167.14
  6. Step 6: Final answer
    x = 1,705.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.