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Finding the Fourth Proportional to 2,549.39, 3,824.08 and 700.51

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Solution

The fourth proportional to 2,549.39, 3,824.08 and 700.51 is: 1,050.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.39 : 3,824.08 = 700.51 : x
  2. Step 2: Convert to fraction form
    2,549.39/3,824.08 = 700.51/x
  3. Step 3: Cross multiply
    2,549.39x = 3,824.08 × 700.51
  4. Step 4: Simplify right side
    2,549.39x = 2,678,811.94
  5. Step 5: Solve for x
    x = 2,678,811.94/2,549.39
  6. Step 6: Final answer
    x = 1,050.77

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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.