Home / 1,784.14-2,675.82-550.84

Finding the Fourth Proportional to 1,784.14, 2,675.82 and 550.84

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Solution

The fourth proportional to 1,784.14, 2,675.82 and 550.84 is: 826.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.14 : 2,675.82 = 550.84 : x
  2. Step 2: Convert to fraction form
    1,784.14/2,675.82 = 550.84/x
  3. Step 3: Cross multiply
    1,784.14x = 2,675.82 × 550.84
  4. Step 4: Simplify right side
    1,784.14x = 1,473,948.69
  5. Step 5: Solve for x
    x = 1,473,948.69/1,784.14
  6. Step 6: Final answer
    x = 826.14

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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.