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Finding the Fourth Proportional to 3,158.66, 4,738.10 and 967.61

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Solution

The fourth proportional to 3,158.66, 4,738.10 and 967.61 is: 1,451.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.66 : 4,738.10 = 967.61 : x
  2. Step 2: Convert to fraction form
    3,158.66/4,738.10 = 967.61/x
  3. Step 3: Cross multiply
    3,158.66x = 4,738.10 × 967.61
  4. Step 4: Simplify right side
    3,158.66x = 4,584,639.95
  5. Step 5: Solve for x
    x = 4,584,639.95/3,158.66
  6. Step 6: Final answer
    x = 1,451.45

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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.