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Finding the Fourth Proportional to 2,089.16, 3,133.98 and 1,223.48

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Solution

The fourth proportional to 2,089.16, 3,133.98 and 1,223.48 is: 1,835.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.16 : 3,133.98 = 1,223.48 : x
  2. Step 2: Convert to fraction form
    2,089.16/3,133.98 = 1,223.48/x
  3. Step 3: Cross multiply
    2,089.16x = 3,133.98 × 1,223.48
  4. Step 4: Simplify right side
    2,089.16x = 3,834,361.85
  5. Step 5: Solve for x
    x = 3,834,361.85/2,089.16
  6. Step 6: Final answer
    x = 1,835.36

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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.