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Finding the Fourth Proportional to 2,120.74, 2,920.08 and 1,884.27

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Solution

The fourth proportional to 2,120.74, 2,920.08 and 1,884.27 is: 2,594.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.74 : 2,920.08 = 1,884.27 : x
  2. Step 2: Convert to fraction form
    2,120.74/2,920.08 = 1,884.27/x
  3. Step 3: Cross multiply
    2,120.74x = 2,920.08 × 1,884.27
  4. Step 4: Simplify right side
    2,120.74x = 5,502,237.16
  5. Step 5: Solve for x
    x = 5,502,237.16/2,120.74
  6. Step 6: Final answer
    x = 2,594.49

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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.