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Finding the Fourth Proportional to 2,605.48, 3,902.40 and 2,016.47

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Solution

The fourth proportional to 2,605.48, 3,902.40 and 2,016.47 is: 3,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.48 : 3,902.40 = 2,016.47 : x
  2. Step 2: Convert to fraction form
    2,605.48/3,902.40 = 2,016.47/x
  3. Step 3: Cross multiply
    2,605.48x = 3,902.40 × 2,016.47
  4. Step 4: Simplify right side
    2,605.48x = 7,869,072.53
  5. Step 5: Solve for x
    x = 7,869,072.53/2,605.48
  6. Step 6: Final answer
    x = 3,020.20

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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.