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Finding the Fourth Proportional to 2,499.72, 3,749.63 and 650.72

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Solution

The fourth proportional to 2,499.72, 3,749.63 and 650.72 is: 976.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.72 : 3,749.63 = 650.72 : x
  2. Step 2: Convert to fraction form
    2,499.72/3,749.63 = 650.72/x
  3. Step 3: Cross multiply
    2,499.72x = 3,749.63 × 650.72
  4. Step 4: Simplify right side
    2,499.72x = 2,439,965.35
  5. Step 5: Solve for x
    x = 2,439,965.35/2,499.72
  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.