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Finding the Fourth Proportional to 2,120.54, 2,926.35 and 1,189.04

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Solution

The fourth proportional to 2,120.54, 2,926.35 and 1,189.04 is: 1,640.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.54 : 2,926.35 = 1,189.04 : x
  2. Step 2: Convert to fraction form
    2,120.54/2,926.35 = 1,189.04/x
  3. Step 3: Cross multiply
    2,120.54x = 2,926.35 × 1,189.04
  4. Step 4: Simplify right side
    2,120.54x = 3,479,547.20
  5. Step 5: Solve for x
    x = 3,479,547.20/2,120.54
  6. Step 6: Final answer
    x = 1,640.88

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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.