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Finding the Fourth Proportional to 1,835.84, 2,754.05 and 602.97

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Solution

The fourth proportional to 1,835.84, 2,754.05 and 602.97 is: 904.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.84 : 2,754.05 = 602.97 : x
  2. Step 2: Convert to fraction form
    1,835.84/2,754.05 = 602.97/x
  3. Step 3: Cross multiply
    1,835.84x = 2,754.05 × 602.97
  4. Step 4: Simplify right side
    1,835.84x = 1,660,608.77
  5. Step 5: Solve for x
    x = 1,660,608.77/1,835.84
  6. Step 6: Final answer
    x = 904.55

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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.