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Finding the Fourth Proportional to 3,106.65, 4,287.06 and 1,780.23

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Solution

The fourth proportional to 3,106.65, 4,287.06 and 1,780.23 is: 2,456.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.65 : 4,287.06 = 1,780.23 : x
  2. Step 2: Convert to fraction form
    3,106.65/4,287.06 = 1,780.23/x
  3. Step 3: Cross multiply
    3,106.65x = 4,287.06 × 1,780.23
  4. Step 4: Simplify right side
    3,106.65x = 7,631,952.82
  5. Step 5: Solve for x
    x = 7,631,952.82/3,106.65
  6. Step 6: Final answer
    x = 2,456.65

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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.