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Finding the Fourth Proportional to 2,464.25, 3,696.35 and 709.30

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Solution

The fourth proportional to 2,464.25, 3,696.35 and 709.30 is: 1,063.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.25 : 3,696.35 = 709.30 : x
  2. Step 2: Convert to fraction form
    2,464.25/3,696.35 = 709.30/x
  3. Step 3: Cross multiply
    2,464.25x = 3,696.35 × 709.30
  4. Step 4: Simplify right side
    2,464.25x = 2,621,821.06
  5. Step 5: Solve for x
    x = 2,621,821.06/2,464.25
  6. Step 6: Final answer
    x = 1,063.94

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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.