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Finding the Fourth Proportional to 2,416, 3,625.36 and 2,397.64

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Solution

The fourth proportional to 2,416, 3,625.36 and 2,397.64 is: 3,597.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416 : 3,625.36 = 2,397.64 : x
  2. Step 2: Convert to fraction form
    2,416/3,625.36 = 2,397.64/x
  3. Step 3: Cross multiply
    2,416x = 3,625.36 × 2,397.64
  4. Step 4: Simplify right side
    2,416x = 8,692,308.15
  5. Step 5: Solve for x
    x = 8,692,308.15/2,416
  6. Step 6: Final answer
    x = 3,597.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.