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Finding the Fourth Proportional to 2,741.01, 3,782.91 and 1,562.25

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Solution

The fourth proportional to 2,741.01, 3,782.91 and 1,562.25 is: 2,156.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.01 : 3,782.91 = 1,562.25 : x
  2. Step 2: Convert to fraction form
    2,741.01/3,782.91 = 1,562.25/x
  3. Step 3: Cross multiply
    2,741.01x = 3,782.91 × 1,562.25
  4. Step 4: Simplify right side
    2,741.01x = 5,909,851.15
  5. Step 5: Solve for x
    x = 5,909,851.15/2,741.01
  6. Step 6: Final answer
    x = 2,156.09

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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.