Home / 1,762.09-2,432.06-1,467.07

Finding the Fourth Proportional to 1,762.09, 2,432.06 and 1,467.07

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Solution

The fourth proportional to 1,762.09, 2,432.06 and 1,467.07 is: 2,024.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.09 : 2,432.06 = 1,467.07 : x
  2. Step 2: Convert to fraction form
    1,762.09/2,432.06 = 1,467.07/x
  3. Step 3: Cross multiply
    1,762.09x = 2,432.06 × 1,467.07
  4. Step 4: Simplify right side
    1,762.09x = 3,568,002.26
  5. Step 5: Solve for x
    x = 3,568,002.26/1,762.09
  6. Step 6: Final answer
    x = 2,024.87

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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.