Home / 2,975.47-4,106.09-1,649.14

Finding the Fourth Proportional to 2,975.47, 4,106.09 and 1,649.14

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Solution

The fourth proportional to 2,975.47, 4,106.09 and 1,649.14 is: 2,275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.47 : 4,106.09 = 1,649.14 : x
  2. Step 2: Convert to fraction form
    2,975.47/4,106.09 = 1,649.14/x
  3. Step 3: Cross multiply
    2,975.47x = 4,106.09 × 1,649.14
  4. Step 4: Simplify right side
    2,975.47x = 6,771,511.12
  5. Step 5: Solve for x
    x = 6,771,511.12/2,975.47
  6. Step 6: Final answer
    x = 2,275.78

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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.