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Finding the Fourth Proportional to 4,509.32, 6,762.78 and 1,734.44

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Solution

The fourth proportional to 4,509.32, 6,762.78 and 1,734.44 is: 2,601.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.32 : 6,762.78 = 1,734.44 : x
  2. Step 2: Convert to fraction form
    4,509.32/6,762.78 = 1,734.44/x
  3. Step 3: Cross multiply
    4,509.32x = 6,762.78 × 1,734.44
  4. Step 4: Simplify right side
    4,509.32x = 11,729,602.33
  5. Step 5: Solve for x
    x = 11,729,602.33/4,509.32
  6. Step 6: Final answer
    x = 2,601.19

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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.