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Finding the Fourth Proportional to 2,895.87, 4,343.82 and 1,164.09

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Solution

The fourth proportional to 2,895.87, 4,343.82 and 1,164.09 is: 1,746.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.87 : 4,343.82 = 1,164.09 : x
  2. Step 2: Convert to fraction form
    2,895.87/4,343.82 = 1,164.09/x
  3. Step 3: Cross multiply
    2,895.87x = 4,343.82 × 1,164.09
  4. Step 4: Simplify right side
    2,895.87x = 5,056,609.35
  5. Step 5: Solve for x
    x = 5,056,609.35/2,895.87
  6. Step 6: Final answer
    x = 1,746.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.