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Finding the Fourth Proportional to 2,946.80, 4,418.04 and 2,212.40

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Solution

The fourth proportional to 2,946.80, 4,418.04 and 2,212.40 is: 3,316.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.80 : 4,418.04 = 2,212.40 : x
  2. Step 2: Convert to fraction form
    2,946.80/4,418.04 = 2,212.40/x
  3. Step 3: Cross multiply
    2,946.80x = 4,418.04 × 2,212.40
  4. Step 4: Simplify right side
    2,946.80x = 9,774,471.70
  5. Step 5: Solve for x
    x = 9,774,471.70/2,946.80
  6. Step 6: Final answer
    x = 3,316.98

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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.