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Finding the Fourth Proportional to 4,166.46, 6,244.98 and 1,698.18

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Solution

The fourth proportional to 4,166.46, 6,244.98 and 1,698.18 is: 2,545.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.46 : 6,244.98 = 1,698.18 : x
  2. Step 2: Convert to fraction form
    4,166.46/6,244.98 = 1,698.18/x
  3. Step 3: Cross multiply
    4,166.46x = 6,244.98 × 1,698.18
  4. Step 4: Simplify right side
    4,166.46x = 10,605,100.14
  5. Step 5: Solve for x
    x = 10,605,100.14/4,166.46
  6. Step 6: Final answer
    x = 2,545.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.