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Finding the Fourth Proportional to 2,671.28, 3,686 and 1,623.16

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Solution

The fourth proportional to 2,671.28, 3,686 and 1,623.16 is: 2,239.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.28 : 3,686 = 1,623.16 : x
  2. Step 2: Convert to fraction form
    2,671.28/3,686 = 1,623.16/x
  3. Step 3: Cross multiply
    2,671.28x = 3,686 × 1,623.16
  4. Step 4: Simplify right side
    2,671.28x = 5,982,967.76
  5. Step 5: Solve for x
    x = 5,982,967.76/2,671.28
  6. Step 6: Final answer
    x = 2,239.74

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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.