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Finding the Fourth Proportional to 3,197.34, 4,792.77 and 1,552.50

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Solution

The fourth proportional to 3,197.34, 4,792.77 and 1,552.50 is: 2,327.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.34 : 4,792.77 = 1,552.50 : x
  2. Step 2: Convert to fraction form
    3,197.34/4,792.77 = 1,552.50/x
  3. Step 3: Cross multiply
    3,197.34x = 4,792.77 × 1,552.50
  4. Step 4: Simplify right side
    3,197.34x = 7,440,775.43
  5. Step 5: Solve for x
    x = 7,440,775.43/3,197.34
  6. Step 6: Final answer
    x = 2,327.18

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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.