Home / 2,053.36-2,833.64-1,109.16

Finding the Fourth Proportional to 2,053.36, 2,833.64 and 1,109.16

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Solution

The fourth proportional to 2,053.36, 2,833.64 and 1,109.16 is: 1,530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.36 : 2,833.64 = 1,109.16 : x
  2. Step 2: Convert to fraction form
    2,053.36/2,833.64 = 1,109.16/x
  3. Step 3: Cross multiply
    2,053.36x = 2,833.64 × 1,109.16
  4. Step 4: Simplify right side
    2,053.36x = 3,142,945.97
  5. Step 5: Solve for x
    x = 3,142,945.97/2,053.36
  6. Step 6: Final answer
    x = 1,530.64

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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.