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Finding the Fourth Proportional to 2,746.56, 3,782.66 and 2,373.42

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Solution

The fourth proportional to 2,746.56, 3,782.66 and 2,373.42 is: 3,268.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.56 : 3,782.66 = 2,373.42 : x
  2. Step 2: Convert to fraction form
    2,746.56/3,782.66 = 2,373.42/x
  3. Step 3: Cross multiply
    2,746.56x = 3,782.66 × 2,373.42
  4. Step 4: Simplify right side
    2,746.56x = 8,977,829.03
  5. Step 5: Solve for x
    x = 8,977,829.03/2,746.56
  6. Step 6: Final answer
    x = 3,268.75

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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.