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Finding the Fourth Proportional to 2,741.49, 3,783.24 and 1,562.54

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Solution

The fourth proportional to 2,741.49, 3,783.24 and 1,562.54 is: 2,156.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.49 : 3,783.24 = 1,562.54 : x
  2. Step 2: Convert to fraction form
    2,741.49/3,783.24 = 1,562.54/x
  3. Step 3: Cross multiply
    2,741.49x = 3,783.24 × 1,562.54
  4. Step 4: Simplify right side
    2,741.49x = 5,911,444.91
  5. Step 5: Solve for x
    x = 5,911,444.91/2,741.49
  6. Step 6: Final answer
    x = 2,156.29

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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.