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Finding the Fourth Proportional to 1,890.77, 2,834.53 and 720.12

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Solution

The fourth proportional to 1,890.77, 2,834.53 and 720.12 is: 1,079.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.77 : 2,834.53 = 720.12 : x
  2. Step 2: Convert to fraction form
    1,890.77/2,834.53 = 720.12/x
  3. Step 3: Cross multiply
    1,890.77x = 2,834.53 × 720.12
  4. Step 4: Simplify right side
    1,890.77x = 2,041,201.74
  5. Step 5: Solve for x
    x = 2,041,201.74/1,890.77
  6. Step 6: Final answer
    x = 1,079.56

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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.