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Finding the Fourth Proportional to 2,768.50, 3,820.48 and 1,509.51

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Solution

The fourth proportional to 2,768.50, 3,820.48 and 1,509.51 is: 2,083.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.50 : 3,820.48 = 1,509.51 : x
  2. Step 2: Convert to fraction form
    2,768.50/3,820.48 = 1,509.51/x
  3. Step 3: Cross multiply
    2,768.50x = 3,820.48 × 1,509.51
  4. Step 4: Simplify right side
    2,768.50x = 5,767,063.32
  5. Step 5: Solve for x
    x = 5,767,063.32/2,768.50
  6. Step 6: Final answer
    x = 2,083.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.