Home / 2,284.36-3,418.86-1,309

Finding the Fourth Proportional to 2,284.36, 3,418.86 and 1,309

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Solution

The fourth proportional to 2,284.36, 3,418.86 and 1,309 is: 1,959.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.36 : 3,418.86 = 1,309 : x
  2. Step 2: Convert to fraction form
    2,284.36/3,418.86 = 1,309/x
  3. Step 3: Cross multiply
    2,284.36x = 3,418.86 × 1,309
  4. Step 4: Simplify right side
    2,284.36x = 4,475,287.74
  5. Step 5: Solve for x
    x = 4,475,287.74/2,284.36
  6. Step 6: Final answer
    x = 1,959.10

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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.