Home / 1,416.09-2,122.92-837.75

Finding the Fourth Proportional to 1,416.09, 2,122.92 and 837.75

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Solution

The fourth proportional to 1,416.09, 2,122.92 and 837.75 is: 1,255.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.09 : 2,122.92 = 837.75 : x
  2. Step 2: Convert to fraction form
    1,416.09/2,122.92 = 837.75/x
  3. Step 3: Cross multiply
    1,416.09x = 2,122.92 × 837.75
  4. Step 4: Simplify right side
    1,416.09x = 1,778,476.23
  5. Step 5: Solve for x
    x = 1,778,476.23/1,416.09
  6. Step 6: Final answer
    x = 1,255.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.