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Finding the Fourth Proportional to 2,665.91, 3,679.08 and 1,486.98

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Solution

The fourth proportional to 2,665.91, 3,679.08 and 1,486.98 is: 2,052.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.91 : 3,679.08 = 1,486.98 : x
  2. Step 2: Convert to fraction form
    2,665.91/3,679.08 = 1,486.98/x
  3. Step 3: Cross multiply
    2,665.91x = 3,679.08 × 1,486.98
  4. Step 4: Simplify right side
    2,665.91x = 5,470,718.38
  5. Step 5: Solve for x
    x = 5,470,718.38/2,665.91
  6. Step 6: Final answer
    x = 2,052.10

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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.