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Finding the Fourth Proportional to 2,766.32, 4,145.60 and 1,534.32

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Solution

The fourth proportional to 2,766.32, 4,145.60 and 1,534.32 is: 2,299.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.32 : 4,145.60 = 1,534.32 : x
  2. Step 2: Convert to fraction form
    2,766.32/4,145.60 = 1,534.32/x
  3. Step 3: Cross multiply
    2,766.32x = 4,145.60 × 1,534.32
  4. Step 4: Simplify right side
    2,766.32x = 6,360,676.99
  5. Step 5: Solve for x
    x = 6,360,676.99/2,766.32
  6. Step 6: Final answer
    x = 2,299.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.