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Finding the Fourth Proportional to 1,835.52, 2,750.82 and 1,529.32

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Solution

The fourth proportional to 1,835.52, 2,750.82 and 1,529.32 is: 2,291.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.52 : 2,750.82 = 1,529.32 : x
  2. Step 2: Convert to fraction form
    1,835.52/2,750.82 = 1,529.32/x
  3. Step 3: Cross multiply
    1,835.52x = 2,750.82 × 1,529.32
  4. Step 4: Simplify right side
    1,835.52x = 4,206,884.04
  5. Step 5: Solve for x
    x = 4,206,884.04/1,835.52
  6. Step 6: Final answer
    x = 2,291.93

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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.