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Finding the Fourth Proportional to 2,741.78, 3,783.58 and 1,562.76

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Solution

The fourth proportional to 2,741.78, 3,783.58 and 1,562.76 is: 2,156.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.78 : 3,783.58 = 1,562.76 : x
  2. Step 2: Convert to fraction form
    2,741.78/3,783.58 = 1,562.76/x
  3. Step 3: Cross multiply
    2,741.78x = 3,783.58 × 1,562.76
  4. Step 4: Simplify right side
    2,741.78x = 5,912,823.57
  5. Step 5: Solve for x
    x = 5,912,823.57/2,741.78
  6. Step 6: Final answer
    x = 2,156.56

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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.