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Finding the Fourth Proportional to 1,953.68, 2,696.06 and 1,069.49

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Solution

The fourth proportional to 1,953.68, 2,696.06 and 1,069.49 is: 1,475.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.68 : 2,696.06 = 1,069.49 : x
  2. Step 2: Convert to fraction form
    1,953.68/2,696.06 = 1,069.49/x
  3. Step 3: Cross multiply
    1,953.68x = 2,696.06 × 1,069.49
  4. Step 4: Simplify right side
    1,953.68x = 2,883,418.62
  5. Step 5: Solve for x
    x = 2,883,418.62/1,953.68
  6. Step 6: Final answer
    x = 1,475.89

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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.