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Finding the Fourth Proportional to 2,946.48, 4,419.12 and 2,766.12

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Solution

The fourth proportional to 2,946.48, 4,419.12 and 2,766.12 is: 4,148.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.48 : 4,419.12 = 2,766.12 : x
  2. Step 2: Convert to fraction form
    2,946.48/4,419.12 = 2,766.12/x
  3. Step 3: Cross multiply
    2,946.48x = 4,419.12 × 2,766.12
  4. Step 4: Simplify right side
    2,946.48x = 12,223,816.21
  5. Step 5: Solve for x
    x = 12,223,816.21/2,946.48
  6. Step 6: Final answer
    x = 4,148.62

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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.