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Finding the Fourth Proportional to 2,703.66, 4,052.79 and 1,608.54

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Solution

The fourth proportional to 2,703.66, 4,052.79 and 1,608.54 is: 2,411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.66 : 4,052.79 = 1,608.54 : x
  2. Step 2: Convert to fraction form
    2,703.66/4,052.79 = 1,608.54/x
  3. Step 3: Cross multiply
    2,703.66x = 4,052.79 × 1,608.54
  4. Step 4: Simplify right side
    2,703.66x = 6,519,074.83
  5. Step 5: Solve for x
    x = 6,519,074.83/2,703.66
  6. Step 6: Final answer
    x = 2,411.20

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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.