Home / 1,396.98-1,924.65-1,102.14

Finding the Fourth Proportional to 1,396.98, 1,924.65 and 1,102.14

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Solution

The fourth proportional to 1,396.98, 1,924.65 and 1,102.14 is: 1,518.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.98 : 1,924.65 = 1,102.14 : x
  2. Step 2: Convert to fraction form
    1,396.98/1,924.65 = 1,102.14/x
  3. Step 3: Cross multiply
    1,396.98x = 1,924.65 × 1,102.14
  4. Step 4: Simplify right side
    1,396.98x = 2,121,233.75
  5. Step 5: Solve for x
    x = 2,121,233.75/1,396.98
  6. Step 6: Final answer
    x = 1,518.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.