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Finding the Fourth Proportional to 1,835.62, 2,753.72 and 602.75

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Solution

The fourth proportional to 1,835.62, 2,753.72 and 602.75 is: 904.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.62 : 2,753.72 = 602.75 : x
  2. Step 2: Convert to fraction form
    1,835.62/2,753.72 = 602.75/x
  3. Step 3: Cross multiply
    1,835.62x = 2,753.72 × 602.75
  4. Step 4: Simplify right side
    1,835.62x = 1,659,804.73
  5. Step 5: Solve for x
    x = 1,659,804.73/1,835.62
  6. Step 6: Final answer
    x = 904.22

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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.