Home / 1,543.68-2,129.19-984.31

Finding the Fourth Proportional to 1,543.68, 2,129.19 and 984.31

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Solution

The fourth proportional to 1,543.68, 2,129.19 and 984.31 is: 1,357.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.68 : 2,129.19 = 984.31 : x
  2. Step 2: Convert to fraction form
    1,543.68/2,129.19 = 984.31/x
  3. Step 3: Cross multiply
    1,543.68x = 2,129.19 × 984.31
  4. Step 4: Simplify right side
    1,543.68x = 2,095,773.99
  5. Step 5: Solve for x
    x = 2,095,773.99/1,543.68
  6. Step 6: Final answer
    x = 1,357.65

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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.