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Finding the Fourth Proportional to 2,325.12, 3,471.12 and 2,019.36

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Solution

The fourth proportional to 2,325.12, 3,471.12 and 2,019.36 is: 3,014.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.12 : 3,471.12 = 2,019.36 : x
  2. Step 2: Convert to fraction form
    2,325.12/3,471.12 = 2,019.36/x
  3. Step 3: Cross multiply
    2,325.12x = 3,471.12 × 2,019.36
  4. Step 4: Simplify right side
    2,325.12x = 7,009,440.88
  5. Step 5: Solve for x
    x = 7,009,440.88/2,325.12
  6. Step 6: Final answer
    x = 3,014.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.