Home / 1,281.60-1,922.24-415.84

Finding the Fourth Proportional to 1,281.60, 1,922.24 and 415.84

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Solution

The fourth proportional to 1,281.60, 1,922.24 and 415.84 is: 623.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.60 : 1,922.24 = 415.84 : x
  2. Step 2: Convert to fraction form
    1,281.60/1,922.24 = 415.84/x
  3. Step 3: Cross multiply
    1,281.60x = 1,922.24 × 415.84
  4. Step 4: Simplify right side
    1,281.60x = 799,344.28
  5. Step 5: Solve for x
    x = 799,344.28/1,281.60
  6. Step 6: Final answer
    x = 623.71

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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.