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Finding the Fourth Proportional to 2,351.01, 3,244.69 and 1,406.80

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Solution

The fourth proportional to 2,351.01, 3,244.69 and 1,406.80 is: 1,941.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.01 : 3,244.69 = 1,406.80 : x
  2. Step 2: Convert to fraction form
    2,351.01/3,244.69 = 1,406.80/x
  3. Step 3: Cross multiply
    2,351.01x = 3,244.69 × 1,406.80
  4. Step 4: Simplify right side
    2,351.01x = 4,564,629.89
  5. Step 5: Solve for x
    x = 4,564,629.89/2,351.01
  6. Step 6: Final answer
    x = 1,941.56

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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.