Home / 1,696.20-2,543.76-966.12

Finding the Fourth Proportional to 1,696.20, 2,543.76 and 966.12

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Solution

The fourth proportional to 1,696.20, 2,543.76 and 966.12 is: 1,448.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.20 : 2,543.76 = 966.12 : x
  2. Step 2: Convert to fraction form
    1,696.20/2,543.76 = 966.12/x
  3. Step 3: Cross multiply
    1,696.20x = 2,543.76 × 966.12
  4. Step 4: Simplify right side
    1,696.20x = 2,457,577.41
  5. Step 5: Solve for x
    x = 2,457,577.41/1,696.20
  6. Step 6: Final answer
    x = 1,448.87

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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.