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Finding the Fourth Proportional to 2,120.64, 2,926.49 and 1,189.14

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Solution

The fourth proportional to 2,120.64, 2,926.49 and 1,189.14 is: 1,641.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.64 : 2,926.49 = 1,189.14 : x
  2. Step 2: Convert to fraction form
    2,120.64/2,926.49 = 1,189.14/x
  3. Step 3: Cross multiply
    2,120.64x = 2,926.49 × 1,189.14
  4. Step 4: Simplify right side
    2,120.64x = 3,480,006.32
  5. Step 5: Solve for x
    x = 3,480,006.32/2,120.64
  6. Step 6: Final answer
    x = 1,641.02

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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.