Home / 1,699.16-2,546.27-967.19

Finding the Fourth Proportional to 1,699.16, 2,546.27 and 967.19

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Solution

The fourth proportional to 1,699.16, 2,546.27 and 967.19 is: 1,449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.16 : 2,546.27 = 967.19 : x
  2. Step 2: Convert to fraction form
    1,699.16/2,546.27 = 967.19/x
  3. Step 3: Cross multiply
    1,699.16x = 2,546.27 × 967.19
  4. Step 4: Simplify right side
    1,699.16x = 2,462,722.05
  5. Step 5: Solve for x
    x = 2,462,722.05/1,699.16
  6. Step 6: Final answer
    x = 1,449.38

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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.