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Finding the Fourth Proportional to 3,014.84, 4,522.26 and 823.89

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Solution

The fourth proportional to 3,014.84, 4,522.26 and 823.89 is: 1,235.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.84 : 4,522.26 = 823.89 : x
  2. Step 2: Convert to fraction form
    3,014.84/4,522.26 = 823.89/x
  3. Step 3: Cross multiply
    3,014.84x = 4,522.26 × 823.89
  4. Step 4: Simplify right side
    3,014.84x = 3,725,844.79
  5. Step 5: Solve for x
    x = 3,725,844.79/3,014.84
  6. Step 6: Final answer
    x = 1,235.84

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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.