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Finding the Fourth Proportional to 2,943, 4,415.04 and 1,212.84

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Solution

The fourth proportional to 2,943, 4,415.04 and 1,212.84 is: 1,819.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943 : 4,415.04 = 1,212.84 : x
  2. Step 2: Convert to fraction form
    2,943/4,415.04 = 1,212.84/x
  3. Step 3: Cross multiply
    2,943x = 4,415.04 × 1,212.84
  4. Step 4: Simplify right side
    2,943x = 5,354,737.11
  5. Step 5: Solve for x
    x = 5,354,737.11/2,943
  6. Step 6: Final answer
    x = 1,819.48

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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.