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Finding the Fourth Proportional to 3,045.78, 4,181.45 and 2,749.32

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Solution

The fourth proportional to 3,045.78, 4,181.45 and 2,749.32 is: 3,774.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.78 : 4,181.45 = 2,749.32 : x
  2. Step 2: Convert to fraction form
    3,045.78/4,181.45 = 2,749.32/x
  3. Step 3: Cross multiply
    3,045.78x = 4,181.45 × 2,749.32
  4. Step 4: Simplify right side
    3,045.78x = 11,496,130.37
  5. Step 5: Solve for x
    x = 11,496,130.37/3,045.78
  6. Step 6: Final answer
    x = 3,774.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.