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Finding the Fourth Proportional to 2,549.62, 3,823.74 and 700.30

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Solution

The fourth proportional to 2,549.62, 3,823.74 and 700.30 is: 1,050.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.62 : 3,823.74 = 700.30 : x
  2. Step 2: Convert to fraction form
    2,549.62/3,823.74 = 700.30/x
  3. Step 3: Cross multiply
    2,549.62x = 3,823.74 × 700.30
  4. Step 4: Simplify right side
    2,549.62x = 2,677,765.12
  5. Step 5: Solve for x
    x = 2,677,765.12/2,549.62
  6. Step 6: Final answer
    x = 1,050.26

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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.