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Finding the Fourth Proportional to 3,106.62, 4,287.24 and 1,780.65

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Solution

The fourth proportional to 3,106.62, 4,287.24 and 1,780.65 is: 2,457.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.62 : 4,287.24 = 1,780.65 : x
  2. Step 2: Convert to fraction form
    3,106.62/4,287.24 = 1,780.65/x
  3. Step 3: Cross multiply
    3,106.62x = 4,287.24 × 1,780.65
  4. Step 4: Simplify right side
    3,106.62x = 7,634,073.91
  5. Step 5: Solve for x
    x = 7,634,073.91/3,106.62
  6. Step 6: Final answer
    x = 2,457.36

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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.