Home / 1,522.14-2,098.62-1,023.72

Finding the Fourth Proportional to 1,522.14, 2,098.62 and 1,023.72

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Solution

The fourth proportional to 1,522.14, 2,098.62 and 1,023.72 is: 1,411.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.14 : 2,098.62 = 1,023.72 : x
  2. Step 2: Convert to fraction form
    1,522.14/2,098.62 = 1,023.72/x
  3. Step 3: Cross multiply
    1,522.14x = 2,098.62 × 1,023.72
  4. Step 4: Simplify right side
    1,522.14x = 2,148,399.27
  5. Step 5: Solve for x
    x = 2,148,399.27/1,522.14
  6. Step 6: Final answer
    x = 1,411.43

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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.