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Finding the Fourth Proportional to 1,827.36, 2,522.98 and 1,406.97

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Solution

The fourth proportional to 1,827.36, 2,522.98 and 1,406.97 is: 1,942.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.36 : 2,522.98 = 1,406.97 : x
  2. Step 2: Convert to fraction form
    1,827.36/2,522.98 = 1,406.97/x
  3. Step 3: Cross multiply
    1,827.36x = 2,522.98 × 1,406.97
  4. Step 4: Simplify right side
    1,827.36x = 3,549,757.17
  5. Step 5: Solve for x
    x = 3,549,757.17/1,827.36
  6. Step 6: Final answer
    x = 1,942.56

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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.