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Finding the Fourth Proportional to 2,467.10, 3,701.34 and 824.72

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Solution

The fourth proportional to 2,467.10, 3,701.34 and 824.72 is: 1,237.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.10 : 3,701.34 = 824.72 : x
  2. Step 2: Convert to fraction form
    2,467.10/3,701.34 = 824.72/x
  3. Step 3: Cross multiply
    2,467.10x = 3,701.34 × 824.72
  4. Step 4: Simplify right side
    2,467.10x = 3,052,569.12
  5. Step 5: Solve for x
    x = 3,052,569.12/2,467.10
  6. Step 6: Final answer
    x = 1,237.31

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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.