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Finding the Fourth Proportional to 2,284.99, 3,153.11 and 1,290.37

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Solution

The fourth proportional to 2,284.99, 3,153.11 and 1,290.37 is: 1,780.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.99 : 3,153.11 = 1,290.37 : x
  2. Step 2: Convert to fraction form
    2,284.99/3,153.11 = 1,290.37/x
  3. Step 3: Cross multiply
    2,284.99x = 3,153.11 × 1,290.37
  4. Step 4: Simplify right side
    2,284.99x = 4,068,656.33
  5. Step 5: Solve for x
    x = 4,068,656.33/2,284.99
  6. Step 6: Final answer
    x = 1,780.61

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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.