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Finding the Fourth Proportional to 2,776.48, 4,141.22 and 2,408.34

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Solution

The fourth proportional to 2,776.48, 4,141.22 and 2,408.34 is: 3,592.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.48 : 4,141.22 = 2,408.34 : x
  2. Step 2: Convert to fraction form
    2,776.48/4,141.22 = 2,408.34/x
  3. Step 3: Cross multiply
    2,776.48x = 4,141.22 × 2,408.34
  4. Step 4: Simplify right side
    2,776.48x = 9,973,465.77
  5. Step 5: Solve for x
    x = 9,973,465.77/2,776.48
  6. Step 6: Final answer
    x = 3,592.13

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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.