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Finding the Fourth Proportional to 2,373.44, 3,561.39 and 1,684.54

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Solution

The fourth proportional to 2,373.44, 3,561.39 and 1,684.54 is: 2,527.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.44 : 3,561.39 = 1,684.54 : x
  2. Step 2: Convert to fraction form
    2,373.44/3,561.39 = 1,684.54/x
  3. Step 3: Cross multiply
    2,373.44x = 3,561.39 × 1,684.54
  4. Step 4: Simplify right side
    2,373.44x = 5,999,303.91
  5. Step 5: Solve for x
    x = 5,999,303.91/2,373.44
  6. Step 6: Final answer
    x = 2,527.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.