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Finding the Fourth Proportional to 2,943.87, 4,415.65 and 752.46

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Solution

The fourth proportional to 2,943.87, 4,415.65 and 752.46 is: 1,128.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.87 : 4,415.65 = 752.46 : x
  2. Step 2: Convert to fraction form
    2,943.87/4,415.65 = 752.46/x
  3. Step 3: Cross multiply
    2,943.87x = 4,415.65 × 752.46
  4. Step 4: Simplify right side
    2,943.87x = 3,322,600.00
  5. Step 5: Solve for x
    x = 3,322,600.00/2,943.87
  6. Step 6: Final answer
    x = 1,128.65

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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.