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Finding the Fourth Proportional to 3,267.42, 4,509.02 and 1,775.34

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Solution

The fourth proportional to 3,267.42, 4,509.02 and 1,775.34 is: 2,449.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.42 : 4,509.02 = 1,775.34 : x
  2. Step 2: Convert to fraction form
    3,267.42/4,509.02 = 1,775.34/x
  3. Step 3: Cross multiply
    3,267.42x = 4,509.02 × 1,775.34
  4. Step 4: Simplify right side
    3,267.42x = 8,005,043.57
  5. Step 5: Solve for x
    x = 8,005,043.57/3,267.42
  6. Step 6: Final answer
    x = 2,449.96

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