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Finding the Fourth Proportional to 2,704.48, 4,055.34 and 1,780.56

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Solution

The fourth proportional to 2,704.48, 4,055.34 and 1,780.56 is: 2,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.48 : 4,055.34 = 1,780.56 : x
  2. Step 2: Convert to fraction form
    2,704.48/4,055.34 = 1,780.56/x
  3. Step 3: Cross multiply
    2,704.48x = 4,055.34 × 1,780.56
  4. Step 4: Simplify right side
    2,704.48x = 7,220,776.19
  5. Step 5: Solve for x
    x = 7,220,776.19/2,704.48
  6. Step 6: Final answer
    x = 2,669.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.