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Finding the Fourth Proportional to 2,495.64, 3,446.46 and 2,055

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Solution

The fourth proportional to 2,495.64, 3,446.46 and 2,055 is: 2,837.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.64 : 3,446.46 = 2,055 : x
  2. Step 2: Convert to fraction form
    2,495.64/3,446.46 = 2,055/x
  3. Step 3: Cross multiply
    2,495.64x = 3,446.46 × 2,055
  4. Step 4: Simplify right side
    2,495.64x = 7,082,475.30
  5. Step 5: Solve for x
    x = 7,082,475.30/2,495.64
  6. Step 6: Final answer
    x = 2,837.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.