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Finding the Fourth Proportional to 2,090.01, 3,119.76 and 1,935.84

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Solution

The fourth proportional to 2,090.01, 3,119.76 and 1,935.84 is: 2,889.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.01 : 3,119.76 = 1,935.84 : x
  2. Step 2: Convert to fraction form
    2,090.01/3,119.76 = 1,935.84/x
  3. Step 3: Cross multiply
    2,090.01x = 3,119.76 × 1,935.84
  4. Step 4: Simplify right side
    2,090.01x = 6,039,356.20
  5. Step 5: Solve for x
    x = 6,039,356.20/2,090.01
  6. Step 6: Final answer
    x = 2,889.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.