Home / 1,389.39-2,084.13-415.55

Finding the Fourth Proportional to 1,389.39, 2,084.13 and 415.55

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Solution

The fourth proportional to 1,389.39, 2,084.13 and 415.55 is: 623.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.39 : 2,084.13 = 415.55 : x
  2. Step 2: Convert to fraction form
    1,389.39/2,084.13 = 415.55/x
  3. Step 3: Cross multiply
    1,389.39x = 2,084.13 × 415.55
  4. Step 4: Simplify right side
    1,389.39x = 866,049.80
  5. Step 5: Solve for x
    x = 866,049.80/1,389.39
  6. Step 6: Final answer
    x = 623.33

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Why These Related Problems?

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