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Finding the Fourth Proportional to 2,549.84, 3,824.15 and 701.06

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Solution

The fourth proportional to 2,549.84, 3,824.15 and 701.06 is: 1,051.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.84 : 3,824.15 = 701.06 : x
  2. Step 2: Convert to fraction form
    2,549.84/3,824.15 = 701.06/x
  3. Step 3: Cross multiply
    2,549.84x = 3,824.15 × 701.06
  4. Step 4: Simplify right side
    2,549.84x = 2,680,935.97
  5. Step 5: Solve for x
    x = 2,680,935.97/2,549.84
  6. Step 6: Final answer
    x = 1,051.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.