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Finding the Fourth Proportional to 1,922.55, 2,884.21 and 752.51

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Solution

The fourth proportional to 1,922.55, 2,884.21 and 752.51 is: 1,128.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.55 : 2,884.21 = 752.51 : x
  2. Step 2: Convert to fraction form
    1,922.55/2,884.21 = 752.51/x
  3. Step 3: Cross multiply
    1,922.55x = 2,884.21 × 752.51
  4. Step 4: Simplify right side
    1,922.55x = 2,170,393.10
  5. Step 5: Solve for x
    x = 2,170,393.10/1,922.55
  6. Step 6: Final answer
    x = 1,128.91

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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.