Home / 1,501.67-2,072.27-829.44

Finding the Fourth Proportional to 1,501.67, 2,072.27 and 829.44

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Solution

The fourth proportional to 1,501.67, 2,072.27 and 829.44 is: 1,144.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.67 : 2,072.27 = 829.44 : x
  2. Step 2: Convert to fraction form
    1,501.67/2,072.27 = 829.44/x
  3. Step 3: Cross multiply
    1,501.67x = 2,072.27 × 829.44
  4. Step 4: Simplify right side
    1,501.67x = 1,718,809.12
  5. Step 5: Solve for x
    x = 1,718,809.12/1,501.67
  6. Step 6: Final answer
    x = 1,144.60

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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.