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Finding the Fourth Proportional to 2,739.28, 3,780.30 and 1,497.28

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Solution

The fourth proportional to 2,739.28, 3,780.30 and 1,497.28 is: 2,066.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.28 : 3,780.30 = 1,497.28 : x
  2. Step 2: Convert to fraction form
    2,739.28/3,780.30 = 1,497.28/x
  3. Step 3: Cross multiply
    2,739.28x = 3,780.30 × 1,497.28
  4. Step 4: Simplify right side
    2,739.28x = 5,660,167.58
  5. Step 5: Solve for x
    x = 5,660,167.58/2,739.28
  6. Step 6: Final answer
    x = 2,066.30

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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.