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Finding the Fourth Proportional to 2,090.88, 2,885.76 and 1,741.44

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Solution

The fourth proportional to 2,090.88, 2,885.76 and 1,741.44 is: 2,403.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.88 : 2,885.76 = 1,741.44 : x
  2. Step 2: Convert to fraction form
    2,090.88/2,885.76 = 1,741.44/x
  3. Step 3: Cross multiply
    2,090.88x = 2,885.76 × 1,741.44
  4. Step 4: Simplify right side
    2,090.88x = 5,025,377.89
  5. Step 5: Solve for x
    x = 5,025,377.89/2,090.88
  6. Step 6: Final answer
    x = 2,403.48

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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.