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Finding the Fourth Proportional to 1,829.79, 2,522.34 and 1,270.28

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Solution

The fourth proportional to 1,829.79, 2,522.34 and 1,270.28 is: 1,751.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.79 : 2,522.34 = 1,270.28 : x
  2. Step 2: Convert to fraction form
    1,829.79/2,522.34 = 1,270.28/x
  3. Step 3: Cross multiply
    1,829.79x = 2,522.34 × 1,270.28
  4. Step 4: Simplify right side
    1,829.79x = 3,204,084.36
  5. Step 5: Solve for x
    x = 3,204,084.36/1,829.79
  6. Step 6: Final answer
    x = 1,751.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.