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Finding the Fourth Proportional to 3,442.90, 4,749.21 and 2,045.38

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Solution

The fourth proportional to 3,442.90, 4,749.21 and 2,045.38 is: 2,821.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.90 : 4,749.21 = 2,045.38 : x
  2. Step 2: Convert to fraction form
    3,442.90/4,749.21 = 2,045.38/x
  3. Step 3: Cross multiply
    3,442.90x = 4,749.21 × 2,045.38
  4. Step 4: Simplify right side
    3,442.90x = 9,713,939.15
  5. Step 5: Solve for x
    x = 9,713,939.15/3,442.90
  6. Step 6: Final answer
    x = 2,821.44

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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.