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Finding the Fourth Proportional to 4,619.07, 6,924.49 and 1,696.69

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Solution

The fourth proportional to 4,619.07, 6,924.49 and 1,696.69 is: 2,543.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,619.07 : 6,924.49 = 1,696.69 : x
  2. Step 2: Convert to fraction form
    4,619.07/6,924.49 = 1,696.69/x
  3. Step 3: Cross multiply
    4,619.07x = 6,924.49 × 1,696.69
  4. Step 4: Simplify right side
    4,619.07x = 11,748,712.94
  5. Step 5: Solve for x
    x = 11,748,712.94/4,619.07
  6. Step 6: Final answer
    x = 2,543.52

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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.