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Finding the Fourth Proportional to 3,106.39, 4,287.19 and 1,780.52

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Solution

The fourth proportional to 3,106.39, 4,287.19 and 1,780.52 is: 2,457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.39 : 4,287.19 = 1,780.52 : x
  2. Step 2: Convert to fraction form
    3,106.39/4,287.19 = 1,780.52/x
  3. Step 3: Cross multiply
    3,106.39x = 4,287.19 × 1,780.52
  4. Step 4: Simplify right side
    3,106.39x = 7,633,427.54
  5. Step 5: Solve for x
    x = 7,633,427.54/3,106.39
  6. Step 6: Final answer
    x = 2,457.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.