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Finding the Fourth Proportional to 2,447.40, 3,386.16 and 2,137.80

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Solution

The fourth proportional to 2,447.40, 3,386.16 and 2,137.80 is: 2,957.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.40 : 3,386.16 = 2,137.80 : x
  2. Step 2: Convert to fraction form
    2,447.40/3,386.16 = 2,137.80/x
  3. Step 3: Cross multiply
    2,447.40x = 3,386.16 × 2,137.80
  4. Step 4: Simplify right side
    2,447.40x = 7,238,932.85
  5. Step 5: Solve for x
    x = 7,238,932.85/2,447.40
  6. Step 6: Final answer
    x = 2,957.81

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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.