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Finding the Fourth Proportional to 2,090.45, 2,884.74 and 1,146.22

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Solution

The fourth proportional to 2,090.45, 2,884.74 and 1,146.22 is: 1,581.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.45 : 2,884.74 = 1,146.22 : x
  2. Step 2: Convert to fraction form
    2,090.45/2,884.74 = 1,146.22/x
  3. Step 3: Cross multiply
    2,090.45x = 2,884.74 × 1,146.22
  4. Step 4: Simplify right side
    2,090.45x = 3,306,526.53
  5. Step 5: Solve for x
    x = 3,306,526.53/2,090.45
  6. Step 6: Final answer
    x = 1,581.73

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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.