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Finding the Fourth Proportional to 2,665.63, 3,679.05 and 1,670.14

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Solution

The fourth proportional to 2,665.63, 3,679.05 and 1,670.14 is: 2,305.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.63 : 3,679.05 = 1,670.14 : x
  2. Step 2: Convert to fraction form
    2,665.63/3,679.05 = 1,670.14/x
  3. Step 3: Cross multiply
    2,665.63x = 3,679.05 × 1,670.14
  4. Step 4: Simplify right side
    2,665.63x = 6,144,528.57
  5. Step 5: Solve for x
    x = 6,144,528.57/2,665.63
  6. Step 6: Final answer
    x = 2,305.09

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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.