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Finding the Fourth Proportional to 2,665.36, 3,678.12 and 1,486.38

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Solution

The fourth proportional to 2,665.36, 3,678.12 and 1,486.38 is: 2,051.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.36 : 3,678.12 = 1,486.38 : x
  2. Step 2: Convert to fraction form
    2,665.36/3,678.12 = 1,486.38/x
  3. Step 3: Cross multiply
    2,665.36x = 3,678.12 × 1,486.38
  4. Step 4: Simplify right side
    2,665.36x = 5,467,084.01
  5. Step 5: Solve for x
    x = 5,467,084.01/2,665.36
  6. Step 6: Final answer
    x = 2,051.16

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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.