Home / 1,567.26-2,359.38-1,408.50

Finding the Fourth Proportional to 1,567.26, 2,359.38 and 1,408.50

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Solution

The fourth proportional to 1,567.26, 2,359.38 and 1,408.50 is: 2,120.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.26 : 2,359.38 = 1,408.50 : x
  2. Step 2: Convert to fraction form
    1,567.26/2,359.38 = 1,408.50/x
  3. Step 3: Cross multiply
    1,567.26x = 2,359.38 × 1,408.50
  4. Step 4: Simplify right side
    1,567.26x = 3,323,186.73
  5. Step 5: Solve for x
    x = 3,323,186.73/1,567.26
  6. Step 6: Final answer
    x = 2,120.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.