Home / 2,040-2,814.33-1,567.08

Finding the Fourth Proportional to 2,040, 2,814.33 and 1,567.08

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Solution

The fourth proportional to 2,040, 2,814.33 and 1,567.08 is: 2,161.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040 : 2,814.33 = 1,567.08 : x
  2. Step 2: Convert to fraction form
    2,040/2,814.33 = 1,567.08/x
  3. Step 3: Cross multiply
    2,040x = 2,814.33 × 1,567.08
  4. Step 4: Simplify right side
    2,040x = 4,410,280.26
  5. Step 5: Solve for x
    x = 4,410,280.26/2,040
  6. Step 6: Final answer
    x = 2,161.90

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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.