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Finding the Fourth Proportional to 2,499.10, 3,748.32 and 650.34

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Solution

The fourth proportional to 2,499.10, 3,748.32 and 650.34 is: 975.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.10 : 3,748.32 = 650.34 : x
  2. Step 2: Convert to fraction form
    2,499.10/3,748.32 = 650.34/x
  3. Step 3: Cross multiply
    2,499.10x = 3,748.32 × 650.34
  4. Step 4: Simplify right side
    2,499.10x = 2,437,682.43
  5. Step 5: Solve for x
    x = 2,437,682.43/2,499.10
  6. Step 6: Final answer
    x = 975.42

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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.