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Finding the Fourth Proportional to 2,952.95, 4,429.41 and 1,221.57

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Solution

The fourth proportional to 2,952.95, 4,429.41 and 1,221.57 is: 1,832.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.95 : 4,429.41 = 1,221.57 : x
  2. Step 2: Convert to fraction form
    2,952.95/4,429.41 = 1,221.57/x
  3. Step 3: Cross multiply
    2,952.95x = 4,429.41 × 1,221.57
  4. Step 4: Simplify right side
    2,952.95x = 5,410,834.37
  5. Step 5: Solve for x
    x = 5,410,834.37/2,952.95
  6. Step 6: Final answer
    x = 1,832.35

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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.