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Finding the Fourth Proportional to 2,795.65, 3,856.82 and 1,676.23

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Solution

The fourth proportional to 2,795.65, 3,856.82 and 1,676.23 is: 2,312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.65 : 3,856.82 = 1,676.23 : x
  2. Step 2: Convert to fraction form
    2,795.65/3,856.82 = 1,676.23/x
  3. Step 3: Cross multiply
    2,795.65x = 3,856.82 × 1,676.23
  4. Step 4: Simplify right side
    2,795.65x = 6,464,899.37
  5. Step 5: Solve for x
    x = 6,464,899.37/2,795.65
  6. Step 6: Final answer
    x = 2,312.49

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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.