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Finding the Fourth Proportional to 2,416.72, 3,622.92 and 2,064.64

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Solution

The fourth proportional to 2,416.72, 3,622.92 and 2,064.64 is: 3,095.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.72 : 3,622.92 = 2,064.64 : x
  2. Step 2: Convert to fraction form
    2,416.72/3,622.92 = 2,064.64/x
  3. Step 3: Cross multiply
    2,416.72x = 3,622.92 × 2,064.64
  4. Step 4: Simplify right side
    2,416.72x = 7,480,025.55
  5. Step 5: Solve for x
    x = 7,480,025.55/2,416.72
  6. Step 6: Final answer
    x = 3,095.11

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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.