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Finding the Fourth Proportional to 3,195.23, 4,792.83 and 974.07

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Solution

The fourth proportional to 3,195.23, 4,792.83 and 974.07 is: 1,461.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.23 : 4,792.83 = 974.07 : x
  2. Step 2: Convert to fraction form
    3,195.23/4,792.83 = 974.07/x
  3. Step 3: Cross multiply
    3,195.23x = 4,792.83 × 974.07
  4. Step 4: Simplify right side
    3,195.23x = 4,668,551.92
  5. Step 5: Solve for x
    x = 4,668,551.92/3,195.23
  6. Step 6: Final answer
    x = 1,461.10

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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.