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Finding the Fourth Proportional to 2,285.66, 3,423.28 and 1,788.97

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Solution

The fourth proportional to 2,285.66, 3,423.28 and 1,788.97 is: 2,679.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.66 : 3,423.28 = 1,788.97 : x
  2. Step 2: Convert to fraction form
    2,285.66/3,423.28 = 1,788.97/x
  3. Step 3: Cross multiply
    2,285.66x = 3,423.28 × 1,788.97
  4. Step 4: Simplify right side
    2,285.66x = 6,124,145.22
  5. Step 5: Solve for x
    x = 6,124,145.22/2,285.66
  6. Step 6: Final answer
    x = 2,679.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.