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Finding the Fourth Proportional to 4,166.58, 6,244.46 and 1,698.50

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Solution

The fourth proportional to 4,166.58, 6,244.46 and 1,698.50 is: 2,545.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.58 : 6,244.46 = 1,698.50 : x
  2. Step 2: Convert to fraction form
    4,166.58/6,244.46 = 1,698.50/x
  3. Step 3: Cross multiply
    4,166.58x = 6,244.46 × 1,698.50
  4. Step 4: Simplify right side
    4,166.58x = 10,606,215.31
  5. Step 5: Solve for x
    x = 10,606,215.31/4,166.58
  6. Step 6: Final answer
    x = 2,545.54

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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.