Home / 2,026.07-2,796.08-1,142.16

Finding the Fourth Proportional to 2,026.07, 2,796.08 and 1,142.16

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Solution

The fourth proportional to 2,026.07, 2,796.08 and 1,142.16 is: 1,576.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.07 : 2,796.08 = 1,142.16 : x
  2. Step 2: Convert to fraction form
    2,026.07/2,796.08 = 1,142.16/x
  3. Step 3: Cross multiply
    2,026.07x = 2,796.08 × 1,142.16
  4. Step 4: Simplify right side
    2,026.07x = 3,193,570.73
  5. Step 5: Solve for x
    x = 3,193,570.73/2,026.07
  6. Step 6: Final answer
    x = 1,576.24

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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.