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Finding the Fourth Proportional to 2,030.54, 2,800.78 and 1,589.90

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Solution

The fourth proportional to 2,030.54, 2,800.78 and 1,589.90 is: 2,192.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.54 : 2,800.78 = 1,589.90 : x
  2. Step 2: Convert to fraction form
    2,030.54/2,800.78 = 1,589.90/x
  3. Step 3: Cross multiply
    2,030.54x = 2,800.78 × 1,589.90
  4. Step 4: Simplify right side
    2,030.54x = 4,452,942.14
  5. Step 5: Solve for x
    x = 4,452,942.14/2,030.54
  6. Step 6: Final answer
    x = 2,192.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.