Home / 2,284.14-3,418.29-1,406.25

Finding the Fourth Proportional to 2,284.14, 3,418.29 and 1,406.25

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Solution

The fourth proportional to 2,284.14, 3,418.29 and 1,406.25 is: 2,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.14 : 3,418.29 = 1,406.25 : x
  2. Step 2: Convert to fraction form
    2,284.14/3,418.29 = 1,406.25/x
  3. Step 3: Cross multiply
    2,284.14x = 3,418.29 × 1,406.25
  4. Step 4: Simplify right side
    2,284.14x = 4,806,970.31
  5. Step 5: Solve for x
    x = 4,806,970.31/2,284.14
  6. Step 6: Final answer
    x = 2,104.50

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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.