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Finding the Fourth Proportional to 3,197.35, 4,415.13 and 2,152.45

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Solution

The fourth proportional to 3,197.35, 4,415.13 and 2,152.45 is: 2,972.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.35 : 4,415.13 = 2,152.45 : x
  2. Step 2: Convert to fraction form
    3,197.35/4,415.13 = 2,152.45/x
  3. Step 3: Cross multiply
    3,197.35x = 4,415.13 × 2,152.45
  4. Step 4: Simplify right side
    3,197.35x = 9,503,346.57
  5. Step 5: Solve for x
    x = 9,503,346.57/3,197.35
  6. Step 6: Final answer
    x = 2,972.26

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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.