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Finding the Fourth Proportional to 1,834.47, 2,751.66 and 447.81

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Solution

The fourth proportional to 1,834.47, 2,751.66 and 447.81 is: 671.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.47 : 2,751.66 = 447.81 : x
  2. Step 2: Convert to fraction form
    1,834.47/2,751.66 = 447.81/x
  3. Step 3: Cross multiply
    1,834.47x = 2,751.66 × 447.81
  4. Step 4: Simplify right side
    1,834.47x = 1,232,220.86
  5. Step 5: Solve for x
    x = 1,232,220.86/1,834.47
  6. Step 6: Final answer
    x = 671.70

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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.