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Finding the Fourth Proportional to 2,739.09, 3,780.26 and 1,560.34

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Solution

The fourth proportional to 2,739.09, 3,780.26 and 1,560.34 is: 2,153.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.09 : 3,780.26 = 1,560.34 : x
  2. Step 2: Convert to fraction form
    2,739.09/3,780.26 = 1,560.34/x
  3. Step 3: Cross multiply
    2,739.09x = 3,780.26 × 1,560.34
  4. Step 4: Simplify right side
    2,739.09x = 5,898,481.18
  5. Step 5: Solve for x
    x = 5,898,481.18/2,739.09
  6. Step 6: Final answer
    x = 2,153.45

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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.