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Finding the Fourth Proportional to 2,166.64, 2,988.84 and 1,379.32

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Solution

The fourth proportional to 2,166.64, 2,988.84 and 1,379.32 is: 1,902.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.64 : 2,988.84 = 1,379.32 : x
  2. Step 2: Convert to fraction form
    2,166.64/2,988.84 = 1,379.32/x
  3. Step 3: Cross multiply
    2,166.64x = 2,988.84 × 1,379.32
  4. Step 4: Simplify right side
    2,166.64x = 4,122,566.79
  5. Step 5: Solve for x
    x = 4,122,566.79/2,166.64
  6. Step 6: Final answer
    x = 1,902.75

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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.