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Finding the Fourth Proportional to 2,069.58, 3,087.58 and 1,900.24

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Solution

The fourth proportional to 2,069.58, 3,087.58 and 1,900.24 is: 2,834.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.58 : 3,087.58 = 1,900.24 : x
  2. Step 2: Convert to fraction form
    2,069.58/3,087.58 = 1,900.24/x
  3. Step 3: Cross multiply
    2,069.58x = 3,087.58 × 1,900.24
  4. Step 4: Simplify right side
    2,069.58x = 5,867,143.02
  5. Step 5: Solve for x
    x = 5,867,143.02/2,069.58
  6. Step 6: Final answer
    x = 2,834.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.