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Finding the Fourth Proportional to 2,373.54, 3,271.47 and 1,665.60

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Solution

The fourth proportional to 2,373.54, 3,271.47 and 1,665.60 is: 2,295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.54 : 3,271.47 = 1,665.60 : x
  2. Step 2: Convert to fraction form
    2,373.54/3,271.47 = 1,665.60/x
  3. Step 3: Cross multiply
    2,373.54x = 3,271.47 × 1,665.60
  4. Step 4: Simplify right side
    2,373.54x = 5,448,960.43
  5. Step 5: Solve for x
    x = 5,448,960.43/2,373.54
  6. Step 6: Final answer
    x = 2,295.71

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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.