Home / 2,072.16-3,109.14-1,099.08

Finding the Fourth Proportional to 2,072.16, 3,109.14 and 1,099.08

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Solution

The fourth proportional to 2,072.16, 3,109.14 and 1,099.08 is: 1,649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.16 : 3,109.14 = 1,099.08 : x
  2. Step 2: Convert to fraction form
    2,072.16/3,109.14 = 1,099.08/x
  3. Step 3: Cross multiply
    2,072.16x = 3,109.14 × 1,099.08
  4. Step 4: Simplify right side
    2,072.16x = 3,417,193.59
  5. Step 5: Solve for x
    x = 3,417,193.59/2,072.16
  6. Step 6: Final answer
    x = 1,649.10

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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.