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Finding the Fourth Proportional to 1,833.93, 2,751.26 and 1,064.25

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Solution

The fourth proportional to 1,833.93, 2,751.26 and 1,064.25 is: 1,596.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.93 : 2,751.26 = 1,064.25 : x
  2. Step 2: Convert to fraction form
    1,833.93/2,751.26 = 1,064.25/x
  3. Step 3: Cross multiply
    1,833.93x = 2,751.26 × 1,064.25
  4. Step 4: Simplify right side
    1,833.93x = 2,928,023.13
  5. Step 5: Solve for x
    x = 2,928,023.13/1,833.93
  6. Step 6: Final answer
    x = 1,596.58

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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.