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Finding the Fourth Proportional to 2,468.52, 3,406.85 and 1,406.67

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Solution

The fourth proportional to 2,468.52, 3,406.85 and 1,406.67 is: 1,941.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.52 : 3,406.85 = 1,406.67 : x
  2. Step 2: Convert to fraction form
    2,468.52/3,406.85 = 1,406.67/x
  3. Step 3: Cross multiply
    2,468.52x = 3,406.85 × 1,406.67
  4. Step 4: Simplify right side
    2,468.52x = 4,792,313.69
  5. Step 5: Solve for x
    x = 4,792,313.69/2,468.52
  6. Step 6: Final answer
    x = 1,941.37

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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.