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Finding the Fourth Proportional to 1,403.91, 2,106.69 and 754.71

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Solution

The fourth proportional to 1,403.91, 2,106.69 and 754.71 is: 1,132.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.91 : 2,106.69 = 754.71 : x
  2. Step 2: Convert to fraction form
    1,403.91/2,106.69 = 754.71/x
  3. Step 3: Cross multiply
    1,403.91x = 2,106.69 × 754.71
  4. Step 4: Simplify right side
    1,403.91x = 1,589,940.01
  5. Step 5: Solve for x
    x = 1,589,940.01/1,403.91
  6. Step 6: Final answer
    x = 1,132.51

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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.