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Finding the Fourth Proportional to 1,974.53, 2,724.84 and 1,090.40

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Solution

The fourth proportional to 1,974.53, 2,724.84 and 1,090.40 is: 1,504.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.53 : 2,724.84 = 1,090.40 : x
  2. Step 2: Convert to fraction form
    1,974.53/2,724.84 = 1,090.40/x
  3. Step 3: Cross multiply
    1,974.53x = 2,724.84 × 1,090.40
  4. Step 4: Simplify right side
    1,974.53x = 2,971,151.91
  5. Step 5: Solve for x
    x = 2,971,151.91/1,974.53
  6. Step 6: Final answer
    x = 1,504.74

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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.