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Finding the Fourth Proportional to 2,462.50, 3,400.06 and 1,762.66

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Solution

The fourth proportional to 2,462.50, 3,400.06 and 1,762.66 is: 2,433.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.50 : 3,400.06 = 1,762.66 : x
  2. Step 2: Convert to fraction form
    2,462.50/3,400.06 = 1,762.66/x
  3. Step 3: Cross multiply
    2,462.50x = 3,400.06 × 1,762.66
  4. Step 4: Simplify right side
    2,462.50x = 5,993,132.76
  5. Step 5: Solve for x
    x = 5,993,132.76/2,462.50
  6. Step 6: Final answer
    x = 2,433.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.