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Finding the Fourth Proportional to 2,597.54, 3,893.22 and 1,499.63

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Solution

The fourth proportional to 2,597.54, 3,893.22 and 1,499.63 is: 2,247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.54 : 3,893.22 = 1,499.63 : x
  2. Step 2: Convert to fraction form
    2,597.54/3,893.22 = 1,499.63/x
  3. Step 3: Cross multiply
    2,597.54x = 3,893.22 × 1,499.63
  4. Step 4: Simplify right side
    2,597.54x = 5,838,370.04
  5. Step 5: Solve for x
    x = 5,838,370.04/2,597.54
  6. Step 6: Final answer
    x = 2,247.66

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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.