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Finding the Fourth Proportional to 3,122.37, 4,684.23 and 1,042.56

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Solution

The fourth proportional to 3,122.37, 4,684.23 and 1,042.56 is: 1,564.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.37 : 4,684.23 = 1,042.56 : x
  2. Step 2: Convert to fraction form
    3,122.37/4,684.23 = 1,042.56/x
  3. Step 3: Cross multiply
    3,122.37x = 4,684.23 × 1,042.56
  4. Step 4: Simplify right side
    3,122.37x = 4,883,590.83
  5. Step 5: Solve for x
    x = 4,883,590.83/3,122.37
  6. Step 6: Final answer
    x = 1,564.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.