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Finding the Fourth Proportional to 2,738.31, 3,780.36 and 1,782.40

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Solution

The fourth proportional to 2,738.31, 3,780.36 and 1,782.40 is: 2,460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.31 : 3,780.36 = 1,782.40 : x
  2. Step 2: Convert to fraction form
    2,738.31/3,780.36 = 1,782.40/x
  3. Step 3: Cross multiply
    2,738.31x = 3,780.36 × 1,782.40
  4. Step 4: Simplify right side
    2,738.31x = 6,738,113.66
  5. Step 5: Solve for x
    x = 6,738,113.66/2,738.31
  6. Step 6: Final answer
    x = 2,460.68

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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.