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Finding the Fourth Proportional to 2,477.81, 3,420.96 and 2,211.79

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Solution

The fourth proportional to 2,477.81, 3,420.96 and 2,211.79 is: 3,053.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.81 : 3,420.96 = 2,211.79 : x
  2. Step 2: Convert to fraction form
    2,477.81/3,420.96 = 2,211.79/x
  3. Step 3: Cross multiply
    2,477.81x = 3,420.96 × 2,211.79
  4. Step 4: Simplify right side
    2,477.81x = 7,566,436.57
  5. Step 5: Solve for x
    x = 7,566,436.57/2,477.81
  6. Step 6: Final answer
    x = 3,053.68

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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.