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Finding the Fourth Proportional to 3,145.28, 4,714.96 and 1,604.48

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Solution

The fourth proportional to 3,145.28, 4,714.96 and 1,604.48 is: 2,405.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.28 : 4,714.96 = 1,604.48 : x
  2. Step 2: Convert to fraction form
    3,145.28/4,714.96 = 1,604.48/x
  3. Step 3: Cross multiply
    3,145.28x = 4,714.96 × 1,604.48
  4. Step 4: Simplify right side
    3,145.28x = 7,565,059.02
  5. Step 5: Solve for x
    x = 7,565,059.02/3,145.28
  6. Step 6: Final answer
    x = 2,405.21

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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.