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Finding the Fourth Proportional to 2,665.36, 3,977.50 and 2,341.42

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Solution

The fourth proportional to 2,665.36, 3,977.50 and 2,341.42 is: 3,494.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.36 : 3,977.50 = 2,341.42 : x
  2. Step 2: Convert to fraction form
    2,665.36/3,977.50 = 2,341.42/x
  3. Step 3: Cross multiply
    2,665.36x = 3,977.50 × 2,341.42
  4. Step 4: Simplify right side
    2,665.36x = 9,312,998.05
  5. Step 5: Solve for x
    x = 9,312,998.05/2,665.36
  6. Step 6: Final answer
    x = 3,494.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.