Home / 1,762.14-2,433.75-1,201.65

Finding the Fourth Proportional to 1,762.14, 2,433.75 and 1,201.65

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Solution

The fourth proportional to 1,762.14, 2,433.75 and 1,201.65 is: 1,659.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.14 : 2,433.75 = 1,201.65 : x
  2. Step 2: Convert to fraction form
    1,762.14/2,433.75 = 1,201.65/x
  3. Step 3: Cross multiply
    1,762.14x = 2,433.75 × 1,201.65
  4. Step 4: Simplify right side
    1,762.14x = 2,924,515.69
  5. Step 5: Solve for x
    x = 2,924,515.69/1,762.14
  6. Step 6: Final answer
    x = 1,659.64

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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.