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Finding the Fourth Proportional to 3,158.16, 4,736.93 and 966.90

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Solution

The fourth proportional to 3,158.16, 4,736.93 and 966.90 is: 1,450.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.16 : 4,736.93 = 966.90 : x
  2. Step 2: Convert to fraction form
    3,158.16/4,736.93 = 966.90/x
  3. Step 3: Cross multiply
    3,158.16x = 4,736.93 × 966.90
  4. Step 4: Simplify right side
    3,158.16x = 4,580,132.78
  5. Step 5: Solve for x
    x = 4,580,132.78/3,158.16
  6. Step 6: Final answer
    x = 1,450.25

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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.