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Finding the Fourth Proportional to 1,394.19, 2,090.74 and 614.23

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Solution

The fourth proportional to 1,394.19, 2,090.74 and 614.23 is: 921.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.19 : 2,090.74 = 614.23 : x
  2. Step 2: Convert to fraction form
    1,394.19/2,090.74 = 614.23/x
  3. Step 3: Cross multiply
    1,394.19x = 2,090.74 × 614.23
  4. Step 4: Simplify right side
    1,394.19x = 1,284,181.71
  5. Step 5: Solve for x
    x = 1,284,181.71/1,394.19
  6. Step 6: Final answer
    x = 921.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.