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Finding the Fourth Proportional to 1,685.88, 2,525.47 and 1,339.81

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Solution

The fourth proportional to 1,685.88, 2,525.47 and 1,339.81 is: 2,007.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.88 : 2,525.47 = 1,339.81 : x
  2. Step 2: Convert to fraction form
    1,685.88/2,525.47 = 1,339.81/x
  3. Step 3: Cross multiply
    1,685.88x = 2,525.47 × 1,339.81
  4. Step 4: Simplify right side
    1,685.88x = 3,383,640.30
  5. Step 5: Solve for x
    x = 3,383,640.30/1,685.88
  6. Step 6: Final answer
    x = 2,007.05

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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.