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Finding the Fourth Proportional to 2,166.72, 2,989.62 and 1,379.40

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Solution

The fourth proportional to 2,166.72, 2,989.62 and 1,379.40 is: 1,903.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.72 : 2,989.62 = 1,379.40 : x
  2. Step 2: Convert to fraction form
    2,166.72/2,989.62 = 1,379.40/x
  3. Step 3: Cross multiply
    2,166.72x = 2,989.62 × 1,379.40
  4. Step 4: Simplify right side
    2,166.72x = 4,123,881.83
  5. Step 5: Solve for x
    x = 4,123,881.83/2,166.72
  6. Step 6: Final answer
    x = 1,903.28

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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.