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Finding the Fourth Proportional to 2,473.24, 3,409.98 and 2,137.24

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Solution

The fourth proportional to 2,473.24, 3,409.98 and 2,137.24 is: 2,946.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.24 : 3,409.98 = 2,137.24 : x
  2. Step 2: Convert to fraction form
    2,473.24/3,409.98 = 2,137.24/x
  3. Step 3: Cross multiply
    2,473.24x = 3,409.98 × 2,137.24
  4. Step 4: Simplify right side
    2,473.24x = 7,287,945.66
  5. Step 5: Solve for x
    x = 7,287,945.66/2,473.24
  6. Step 6: Final answer
    x = 2,946.72

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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.