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Finding the Fourth Proportional to 1,833.95, 2,750.91 and 859.37

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Solution

The fourth proportional to 1,833.95, 2,750.91 and 859.37 is: 1,289.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.95 : 2,750.91 = 859.37 : x
  2. Step 2: Convert to fraction form
    1,833.95/2,750.91 = 859.37/x
  3. Step 3: Cross multiply
    1,833.95x = 2,750.91 × 859.37
  4. Step 4: Simplify right side
    1,833.95x = 2,364,032.55
  5. Step 5: Solve for x
    x = 2,364,032.55/1,833.95
  6. Step 6: Final answer
    x = 1,289.04

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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.