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Finding the Fourth Proportional to 2,090.48, 2,889.80 and 1,674.94

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Solution

The fourth proportional to 2,090.48, 2,889.80 and 1,674.94 is: 2,315.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.48 : 2,889.80 = 1,674.94 : x
  2. Step 2: Convert to fraction form
    2,090.48/2,889.80 = 1,674.94/x
  3. Step 3: Cross multiply
    2,090.48x = 2,889.80 × 1,674.94
  4. Step 4: Simplify right side
    2,090.48x = 4,840,241.61
  5. Step 5: Solve for x
    x = 4,840,241.61/2,090.48
  6. Step 6: Final answer
    x = 2,315.37

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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.