Home / 1,522.42-2,098.78-1,080.16

Finding the Fourth Proportional to 1,522.42, 2,098.78 and 1,080.16

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Solution

The fourth proportional to 1,522.42, 2,098.78 and 1,080.16 is: 1,489.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.42 : 2,098.78 = 1,080.16 : x
  2. Step 2: Convert to fraction form
    1,522.42/2,098.78 = 1,080.16/x
  3. Step 3: Cross multiply
    1,522.42x = 2,098.78 × 1,080.16
  4. Step 4: Simplify right side
    1,522.42x = 2,267,018.20
  5. Step 5: Solve for x
    x = 2,267,018.20/1,522.42
  6. Step 6: Final answer
    x = 1,489.09

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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.