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Finding the Fourth Proportional to 3,020.40, 4,172.40 and 2,330.64

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Solution

The fourth proportional to 3,020.40, 4,172.40 and 2,330.64 is: 3,219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.40 : 4,172.40 = 2,330.64 : x
  2. Step 2: Convert to fraction form
    3,020.40/4,172.40 = 2,330.64/x
  3. Step 3: Cross multiply
    3,020.40x = 4,172.40 × 2,330.64
  4. Step 4: Simplify right side
    3,020.40x = 9,724,362.34
  5. Step 5: Solve for x
    x = 9,724,362.34/3,020.40
  6. Step 6: Final answer
    x = 3,219.56

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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.