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Finding the Fourth Proportional to 2,971.98, 4,478.41 and 2,463.41

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Solution

The fourth proportional to 2,971.98, 4,478.41 and 2,463.41 is: 3,712.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.98 : 4,478.41 = 2,463.41 : x
  2. Step 2: Convert to fraction form
    2,971.98/4,478.41 = 2,463.41/x
  3. Step 3: Cross multiply
    2,971.98x = 4,478.41 × 2,463.41
  4. Step 4: Simplify right side
    2,971.98x = 11,032,131.43
  5. Step 5: Solve for x
    x = 11,032,131.43/2,971.98
  6. Step 6: Final answer
    x = 3,712.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.