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Finding the Fourth Proportional to 1,696.69, 2,544.80 and 945.46

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Solution

The fourth proportional to 1,696.69, 2,544.80 and 945.46 is: 1,418.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.69 : 2,544.80 = 945.46 : x
  2. Step 2: Convert to fraction form
    1,696.69/2,544.80 = 945.46/x
  3. Step 3: Cross multiply
    1,696.69x = 2,544.80 × 945.46
  4. Step 4: Simplify right side
    1,696.69x = 2,406,012.01
  5. Step 5: Solve for x
    x = 2,406,012.01/1,696.69
  6. Step 6: Final answer
    x = 1,418.06

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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.