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Finding the Fourth Proportional to 4,442.34, 6,657.74 and 1,806.77

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Solution

The fourth proportional to 4,442.34, 6,657.74 and 1,806.77 is: 2,707.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,442.34 : 6,657.74 = 1,806.77 : x
  2. Step 2: Convert to fraction form
    4,442.34/6,657.74 = 1,806.77/x
  3. Step 3: Cross multiply
    4,442.34x = 6,657.74 × 1,806.77
  4. Step 4: Simplify right side
    4,442.34x = 12,029,014.20
  5. Step 5: Solve for x
    x = 12,029,014.20/4,442.34
  6. Step 6: Final answer
    x = 2,707.81

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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.