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Finding the Fourth Proportional to 3,111.45, 4,294.43 and 1,786.06

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Solution

The fourth proportional to 3,111.45, 4,294.43 and 1,786.06 is: 2,465.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.45 : 4,294.43 = 1,786.06 : x
  2. Step 2: Convert to fraction form
    3,111.45/4,294.43 = 1,786.06/x
  3. Step 3: Cross multiply
    3,111.45x = 4,294.43 × 1,786.06
  4. Step 4: Simplify right side
    3,111.45x = 7,670,109.65
  5. Step 5: Solve for x
    x = 7,670,109.65/3,111.45
  6. Step 6: Final answer
    x = 2,465.12

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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.