Home / 1,684.13-2,324.07-975.98

Finding the Fourth Proportional to 1,684.13, 2,324.07 and 975.98

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Solution

The fourth proportional to 1,684.13, 2,324.07 and 975.98 is: 1,346.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.13 : 2,324.07 = 975.98 : x
  2. Step 2: Convert to fraction form
    1,684.13/2,324.07 = 975.98/x
  3. Step 3: Cross multiply
    1,684.13x = 2,324.07 × 975.98
  4. Step 4: Simplify right side
    1,684.13x = 2,268,234.22
  5. Step 5: Solve for x
    x = 2,268,234.22/1,684.13
  6. Step 6: Final answer
    x = 1,346.83

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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.