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Finding the Fourth Proportional to 2,090.78, 3,135.57 and 841.37

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Solution

The fourth proportional to 2,090.78, 3,135.57 and 841.37 is: 1,261.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.78 : 3,135.57 = 841.37 : x
  2. Step 2: Convert to fraction form
    2,090.78/3,135.57 = 841.37/x
  3. Step 3: Cross multiply
    2,090.78x = 3,135.57 × 841.37
  4. Step 4: Simplify right side
    2,090.78x = 2,638,174.53
  5. Step 5: Solve for x
    x = 2,638,174.53/2,090.78
  6. Step 6: Final answer
    x = 1,261.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.