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Finding the Fourth Proportional to 3,106.48, 4,285.53 and 1,846.82

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Solution

The fourth proportional to 3,106.48, 4,285.53 and 1,846.82 is: 2,547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.48 : 4,285.53 = 1,846.82 : x
  2. Step 2: Convert to fraction form
    3,106.48/4,285.53 = 1,846.82/x
  3. Step 3: Cross multiply
    3,106.48x = 4,285.53 × 1,846.82
  4. Step 4: Simplify right side
    3,106.48x = 7,914,620.15
  5. Step 5: Solve for x
    x = 7,914,620.15/3,106.48
  6. Step 6: Final answer
    x = 2,547.78

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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.