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Finding the Fourth Proportional to 3,023.50, 4,172.06 and 1,764.82

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Solution

The fourth proportional to 3,023.50, 4,172.06 and 1,764.82 is: 2,435.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.50 : 4,172.06 = 1,764.82 : x
  2. Step 2: Convert to fraction form
    3,023.50/4,172.06 = 1,764.82/x
  3. Step 3: Cross multiply
    3,023.50x = 4,172.06 × 1,764.82
  4. Step 4: Simplify right side
    3,023.50x = 7,362,934.93
  5. Step 5: Solve for x
    x = 7,362,934.93/3,023.50
  6. Step 6: Final answer
    x = 2,435.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.