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Finding the Fourth Proportional to 3,112.83, 4,295.70 and 1,786.32

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Solution

The fourth proportional to 3,112.83, 4,295.70 and 1,786.32 is: 2,465.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.83 : 4,295.70 = 1,786.32 : x
  2. Step 2: Convert to fraction form
    3,112.83/4,295.70 = 1,786.32/x
  3. Step 3: Cross multiply
    3,112.83x = 4,295.70 × 1,786.32
  4. Step 4: Simplify right side
    3,112.83x = 7,673,494.82
  5. Step 5: Solve for x
    x = 7,673,494.82/3,112.83
  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.