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Finding the Fourth Proportional to 2,089.45, 3,128.03 and 1,544.07

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Solution

The fourth proportional to 2,089.45, 3,128.03 and 1,544.07 is: 2,311.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.45 : 3,128.03 = 1,544.07 : x
  2. Step 2: Convert to fraction form
    2,089.45/3,128.03 = 1,544.07/x
  3. Step 3: Cross multiply
    2,089.45x = 3,128.03 × 1,544.07
  4. Step 4: Simplify right side
    2,089.45x = 4,829,873.92
  5. Step 5: Solve for x
    x = 4,829,873.92/2,089.45
  6. Step 6: Final answer
    x = 2,311.55

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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.