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Finding the Fourth Proportional to 1,835.51, 2,753.67 and 602.87

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Solution

The fourth proportional to 1,835.51, 2,753.67 and 602.87 is: 904.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.51 : 2,753.67 = 602.87 : x
  2. Step 2: Convert to fraction form
    1,835.51/2,753.67 = 602.87/x
  3. Step 3: Cross multiply
    1,835.51x = 2,753.67 × 602.87
  4. Step 4: Simplify right side
    1,835.51x = 1,660,099.57
  5. Step 5: Solve for x
    x = 1,660,099.57/1,835.51
  6. Step 6: Final answer
    x = 904.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.