Home / 1,605.37-2,215.41-942.23

Finding the Fourth Proportional to 1,605.37, 2,215.41 and 942.23

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Solution

The fourth proportional to 1,605.37, 2,215.41 and 942.23 is: 1,300.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.37 : 2,215.41 = 942.23 : x
  2. Step 2: Convert to fraction form
    1,605.37/2,215.41 = 942.23/x
  3. Step 3: Cross multiply
    1,605.37x = 2,215.41 × 942.23
  4. Step 4: Simplify right side
    1,605.37x = 2,087,425.76
  5. Step 5: Solve for x
    x = 2,087,425.76/1,605.37
  6. Step 6: Final answer
    x = 1,300.28

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