Home / 1,590.66-2,194.83-961.02

Finding the Fourth Proportional to 1,590.66, 2,194.83 and 961.02

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Solution

The fourth proportional to 1,590.66, 2,194.83 and 961.02 is: 1,326.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.66 : 2,194.83 = 961.02 : x
  2. Step 2: Convert to fraction form
    1,590.66/2,194.83 = 961.02/x
  3. Step 3: Cross multiply
    1,590.66x = 2,194.83 × 961.02
  4. Step 4: Simplify right side
    1,590.66x = 2,109,275.53
  5. Step 5: Solve for x
    x = 2,109,275.53/1,590.66
  6. Step 6: Final answer
    x = 1,326.04

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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.