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Finding the Fourth Proportional to 1,834.48, 2,752.41 and 739.16

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Solution

The fourth proportional to 1,834.48, 2,752.41 and 739.16 is: 1,109.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.48 : 2,752.41 = 739.16 : x
  2. Step 2: Convert to fraction form
    1,834.48/2,752.41 = 739.16/x
  3. Step 3: Cross multiply
    1,834.48x = 2,752.41 × 739.16
  4. Step 4: Simplify right side
    1,834.48x = 2,034,453.92
  5. Step 5: Solve for x
    x = 2,034,453.92/1,834.48
  6. Step 6: Final answer
    x = 1,109.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.