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Finding the Fourth Proportional to 2,549.46, 3,824.14 and 700.57

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Solution

The fourth proportional to 2,549.46, 3,824.14 and 700.57 is: 1,050.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.46 : 3,824.14 = 700.57 : x
  2. Step 2: Convert to fraction form
    2,549.46/3,824.14 = 700.57/x
  3. Step 3: Cross multiply
    2,549.46x = 3,824.14 × 700.57
  4. Step 4: Simplify right side
    2,549.46x = 2,679,059.51
  5. Step 5: Solve for x
    x = 2,679,059.51/2,549.46
  6. Step 6: Final answer
    x = 1,050.84

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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.