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Finding the Fourth Proportional to 2,741.94, 3,782.94 and 1,562.16

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Solution

The fourth proportional to 2,741.94, 3,782.94 and 1,562.16 is: 2,155.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.94 : 3,782.94 = 1,562.16 : x
  2. Step 2: Convert to fraction form
    2,741.94/3,782.94 = 1,562.16/x
  3. Step 3: Cross multiply
    2,741.94x = 3,782.94 × 1,562.16
  4. Step 4: Simplify right side
    2,741.94x = 5,909,557.55
  5. Step 5: Solve for x
    x = 5,909,557.55/2,741.94
  6. Step 6: Final answer
    x = 2,155.25

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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.