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Finding the Fourth Proportional to 2,590.92, 3,886.56 and 2,284.92

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Solution

The fourth proportional to 2,590.92, 3,886.56 and 2,284.92 is: 3,427.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.92 : 3,886.56 = 2,284.92 : x
  2. Step 2: Convert to fraction form
    2,590.92/3,886.56 = 2,284.92/x
  3. Step 3: Cross multiply
    2,590.92x = 3,886.56 × 2,284.92
  4. Step 4: Simplify right side
    2,590.92x = 8,880,478.68
  5. Step 5: Solve for x
    x = 8,880,478.68/2,590.92
  6. Step 6: Final answer
    x = 3,427.54

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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.