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Finding the Fourth Proportional to 2,059.86, 3,089.42 and 1,019.53

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Solution

The fourth proportional to 2,059.86, 3,089.42 and 1,019.53 is: 1,529.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.86 : 3,089.42 = 1,019.53 : x
  2. Step 2: Convert to fraction form
    2,059.86/3,089.42 = 1,019.53/x
  3. Step 3: Cross multiply
    2,059.86x = 3,089.42 × 1,019.53
  4. Step 4: Simplify right side
    2,059.86x = 3,149,756.37
  5. Step 5: Solve for x
    x = 3,149,756.37/2,059.86
  6. Step 6: Final answer
    x = 1,529.11

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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.