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Finding the Fourth Proportional to 2,598.52, 3,897.79 and 650.73

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Solution

The fourth proportional to 2,598.52, 3,897.79 and 650.73 is: 976.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.52 : 3,897.79 = 650.73 : x
  2. Step 2: Convert to fraction form
    2,598.52/3,897.79 = 650.73/x
  3. Step 3: Cross multiply
    2,598.52x = 3,897.79 × 650.73
  4. Step 4: Simplify right side
    2,598.52x = 2,536,408.89
  5. Step 5: Solve for x
    x = 2,536,408.89/2,598.52
  6. Step 6: Final answer
    x = 976.10

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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.