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Finding the Fourth Proportional to 2,947, 4,421.72 and 1,216.84

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Solution

The fourth proportional to 2,947, 4,421.72 and 1,216.84 is: 1,825.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947 : 4,421.72 = 1,216.84 : x
  2. Step 2: Convert to fraction form
    2,947/4,421.72 = 1,216.84/x
  3. Step 3: Cross multiply
    2,947x = 4,421.72 × 1,216.84
  4. Step 4: Simplify right side
    2,947x = 5,380,525.76
  5. Step 5: Solve for x
    x = 5,380,525.76/2,947
  6. Step 6: Final answer
    x = 1,825.76

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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.