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Finding the Fourth Proportional to 2,084.22, 3,126.30 and 524.22

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Solution

The fourth proportional to 2,084.22, 3,126.30 and 524.22 is: 786.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.22 : 3,126.30 = 524.22 : x
  2. Step 2: Convert to fraction form
    2,084.22/3,126.30 = 524.22/x
  3. Step 3: Cross multiply
    2,084.22x = 3,126.30 × 524.22
  4. Step 4: Simplify right side
    2,084.22x = 1,638,868.99
  5. Step 5: Solve for x
    x = 1,638,868.99/2,084.22
  6. Step 6: Final answer
    x = 786.32

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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.