Home / 1,605.70-2,216.37-942.82

Finding the Fourth Proportional to 1,605.70, 2,216.37 and 942.82

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Solution

The fourth proportional to 1,605.70, 2,216.37 and 942.82 is: 1,301.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.70 : 2,216.37 = 942.82 : x
  2. Step 2: Convert to fraction form
    1,605.70/2,216.37 = 942.82/x
  3. Step 3: Cross multiply
    1,605.70x = 2,216.37 × 942.82
  4. Step 4: Simplify right side
    1,605.70x = 2,089,637.96
  5. Step 5: Solve for x
    x = 2,089,637.96/1,605.70
  6. Step 6: Final answer
    x = 1,301.39

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1.5x scale

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.