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Finding the Fourth Proportional to 3,160.17, 4,740.21 and 968.88

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Solution

The fourth proportional to 3,160.17, 4,740.21 and 968.88 is: 1,453.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.17 : 4,740.21 = 968.88 : x
  2. Step 2: Convert to fraction form
    3,160.17/4,740.21 = 968.88/x
  3. Step 3: Cross multiply
    3,160.17x = 4,740.21 × 968.88
  4. Step 4: Simplify right side
    3,160.17x = 4,592,694.66
  5. Step 5: Solve for x
    x = 4,592,694.66/3,160.17
  6. Step 6: Final answer
    x = 1,453.31

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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.