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Finding the Fourth Proportional to 2,090.54, 2,885.76 and 1,568.09

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Solution

The fourth proportional to 2,090.54, 2,885.76 and 1,568.09 is: 2,164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.54 : 2,885.76 = 1,568.09 : x
  2. Step 2: Convert to fraction form
    2,090.54/2,885.76 = 1,568.09/x
  3. Step 3: Cross multiply
    2,090.54x = 2,885.76 × 1,568.09
  4. Step 4: Simplify right side
    2,090.54x = 4,525,138.61
  5. Step 5: Solve for x
    x = 4,525,138.61/2,090.54
  6. Step 6: Final answer
    x = 2,164.58

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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.