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Finding the Fourth Proportional to 2,666.45, 3,678.04 and 1,919.23

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Solution

The fourth proportional to 2,666.45, 3,678.04 and 1,919.23 is: 2,647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.45 : 3,678.04 = 1,919.23 : x
  2. Step 2: Convert to fraction form
    2,666.45/3,678.04 = 1,919.23/x
  3. Step 3: Cross multiply
    2,666.45x = 3,678.04 × 1,919.23
  4. Step 4: Simplify right side
    2,666.45x = 7,058,997.91
  5. Step 5: Solve for x
    x = 7,058,997.91/2,666.45
  6. Step 6: Final answer
    x = 2,647.34

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