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Finding the Fourth Proportional to 2,666.10, 3,678 and 1,670.88

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Solution

The fourth proportional to 2,666.10, 3,678 and 1,670.88 is: 2,305.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.10 : 3,678 = 1,670.88 : x
  2. Step 2: Convert to fraction form
    2,666.10/3,678 = 1,670.88/x
  3. Step 3: Cross multiply
    2,666.10x = 3,678 × 1,670.88
  4. Step 4: Simplify right side
    2,666.10x = 6,145,496.64
  5. Step 5: Solve for x
    x = 6,145,496.64/2,666.10
  6. Step 6: Final answer
    x = 2,305.05

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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.