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Finding the Fourth Proportional to 4,522.02, 6,782.12 and 1,234.84

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Solution

The fourth proportional to 4,522.02, 6,782.12 and 1,234.84 is: 1,852.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522.02 : 6,782.12 = 1,234.84 : x
  2. Step 2: Convert to fraction form
    4,522.02/6,782.12 = 1,234.84/x
  3. Step 3: Cross multiply
    4,522.02x = 6,782.12 × 1,234.84
  4. Step 4: Simplify right side
    4,522.02x = 8,374,809.93
  5. Step 5: Solve for x
    x = 8,374,809.93/4,522.02
  6. Step 6: Final answer
    x = 1,852.01

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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.