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Finding the Fourth Proportional to 2,102.24, 2,900.80 and 1,788.80

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Solution

The fourth proportional to 2,102.24, 2,900.80 and 1,788.80 is: 2,468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.24 : 2,900.80 = 1,788.80 : x
  2. Step 2: Convert to fraction form
    2,102.24/2,900.80 = 1,788.80/x
  3. Step 3: Cross multiply
    2,102.24x = 2,900.80 × 1,788.80
  4. Step 4: Simplify right side
    2,102.24x = 5,188,951.04
  5. Step 5: Solve for x
    x = 5,188,951.04/2,102.24
  6. Step 6: Final answer
    x = 2,468.30

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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.