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Finding the Fourth Proportional to 3,026.23, 4,539.74 and 946.37

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Solution

The fourth proportional to 3,026.23, 4,539.74 and 946.37 is: 1,419.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.23 : 4,539.74 = 946.37 : x
  2. Step 2: Convert to fraction form
    3,026.23/4,539.74 = 946.37/x
  3. Step 3: Cross multiply
    3,026.23x = 4,539.74 × 946.37
  4. Step 4: Simplify right side
    3,026.23x = 4,296,273.74
  5. Step 5: Solve for x
    x = 4,296,273.74/3,026.23
  6. Step 6: Final answer
    x = 1,419.68

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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.