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Finding the Fourth Proportional to 1,682.84, 2,522.16 and 757.08

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Solution

The fourth proportional to 1,682.84, 2,522.16 and 757.08 is: 1,134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.84 : 2,522.16 = 757.08 : x
  2. Step 2: Convert to fraction form
    1,682.84/2,522.16 = 757.08/x
  3. Step 3: Cross multiply
    1,682.84x = 2,522.16 × 757.08
  4. Step 4: Simplify right side
    1,682.84x = 1,909,476.89
  5. Step 5: Solve for x
    x = 1,909,476.89/1,682.84
  6. Step 6: Final answer
    x = 1,134.68

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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.