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Finding the Fourth Proportional to 2,969.99, 4,094.70 and 2,436.91

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Solution

The fourth proportional to 2,969.99, 4,094.70 and 2,436.91 is: 3,359.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.99 : 4,094.70 = 2,436.91 : x
  2. Step 2: Convert to fraction form
    2,969.99/4,094.70 = 2,436.91/x
  3. Step 3: Cross multiply
    2,969.99x = 4,094.70 × 2,436.91
  4. Step 4: Simplify right side
    2,969.99x = 9,978,421.23
  5. Step 5: Solve for x
    x = 9,978,421.23/2,969.99
  6. Step 6: Final answer
    x = 3,359.75

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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.