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Finding the Fourth Proportional to 2,943.83, 4,415.67 and 752.64

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Solution

The fourth proportional to 2,943.83, 4,415.67 and 752.64 is: 1,128.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.83 : 4,415.67 = 752.64 : x
  2. Step 2: Convert to fraction form
    2,943.83/4,415.67 = 752.64/x
  3. Step 3: Cross multiply
    2,943.83x = 4,415.67 × 752.64
  4. Step 4: Simplify right side
    2,943.83x = 3,323,409.87
  5. Step 5: Solve for x
    x = 3,323,409.87/2,943.83
  6. Step 6: Final answer
    x = 1,128.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.