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Finding the Fourth Proportional to 3,106.69, 4,287.09 and 1,780.51

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Solution

The fourth proportional to 3,106.69, 4,287.09 and 1,780.51 is: 2,457.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.69 : 4,287.09 = 1,780.51 : x
  2. Step 2: Convert to fraction form
    3,106.69/4,287.09 = 1,780.51/x
  3. Step 3: Cross multiply
    3,106.69x = 4,287.09 × 1,780.51
  4. Step 4: Simplify right side
    3,106.69x = 7,633,206.62
  5. Step 5: Solve for x
    x = 7,633,206.62/3,106.69
  6. Step 6: Final answer
    x = 2,457.02

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