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Finding the Fourth Proportional to 2,468.42, 3,707.04 and 2,369.34

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Solution

The fourth proportional to 2,468.42, 3,707.04 and 2,369.34 is: 3,558.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.42 : 3,707.04 = 2,369.34 : x
  2. Step 2: Convert to fraction form
    2,468.42/3,707.04 = 2,369.34/x
  3. Step 3: Cross multiply
    2,468.42x = 3,707.04 × 2,369.34
  4. Step 4: Simplify right side
    2,468.42x = 8,783,238.15
  5. Step 5: Solve for x
    x = 8,783,238.15/2,468.42
  6. Step 6: Final answer
    x = 3,558.24

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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.