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Finding the Fourth Proportional to 2,120.40, 2,926.40 and 2,052.36

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Solution

The fourth proportional to 2,120.40, 2,926.40 and 2,052.36 is: 2,832.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.40 : 2,926.40 = 2,052.36 : x
  2. Step 2: Convert to fraction form
    2,120.40/2,926.40 = 2,052.36/x
  3. Step 3: Cross multiply
    2,120.40x = 2,926.40 × 2,052.36
  4. Step 4: Simplify right side
    2,120.40x = 6,006,016.04
  5. Step 5: Solve for x
    x = 6,006,016.04/2,120.40
  6. Step 6: Final answer
    x = 2,832.49

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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.