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Finding the Fourth Proportional to 2,741.57, 3,780.54 and 1,944.53

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Solution

The fourth proportional to 2,741.57, 3,780.54 and 1,944.53 is: 2,681.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.57 : 3,780.54 = 1,944.53 : x
  2. Step 2: Convert to fraction form
    2,741.57/3,780.54 = 1,944.53/x
  3. Step 3: Cross multiply
    2,741.57x = 3,780.54 × 1,944.53
  4. Step 4: Simplify right side
    2,741.57x = 7,351,368.72
  5. Step 5: Solve for x
    x = 7,351,368.72/2,741.57
  6. Step 6: Final answer
    x = 2,681.45

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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.