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Finding the Fourth Proportional to 1,833.86, 2,751.04 and 535.31

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Solution

The fourth proportional to 1,833.86, 2,751.04 and 535.31 is: 803.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.86 : 2,751.04 = 535.31 : x
  2. Step 2: Convert to fraction form
    1,833.86/2,751.04 = 535.31/x
  3. Step 3: Cross multiply
    1,833.86x = 2,751.04 × 535.31
  4. Step 4: Simplify right side
    1,833.86x = 1,472,656.55
  5. Step 5: Solve for x
    x = 1,472,656.55/1,833.86
  6. Step 6: Final answer
    x = 803.04

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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.