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Finding the Fourth Proportional to 4,617.74, 6,929.64 and 1,696.07

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Solution

The fourth proportional to 4,617.74, 6,929.64 and 1,696.07 is: 2,545.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.74 : 6,929.64 = 1,696.07 : x
  2. Step 2: Convert to fraction form
    4,617.74/6,929.64 = 1,696.07/x
  3. Step 3: Cross multiply
    4,617.74x = 6,929.64 × 1,696.07
  4. Step 4: Simplify right side
    4,617.74x = 11,753,119.87
  5. Step 5: Solve for x
    x = 11,753,119.87/4,617.74
  6. Step 6: Final answer
    x = 2,545.21

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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.