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Finding the Fourth Proportional to 3,404.64, 4,698.28 and 2,080.56

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Solution

The fourth proportional to 3,404.64, 4,698.28 and 2,080.56 is: 2,871.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.64 : 4,698.28 = 2,080.56 : x
  2. Step 2: Convert to fraction form
    3,404.64/4,698.28 = 2,080.56/x
  3. Step 3: Cross multiply
    3,404.64x = 4,698.28 × 2,080.56
  4. Step 4: Simplify right side
    3,404.64x = 9,775,053.44
  5. Step 5: Solve for x
    x = 9,775,053.44/3,404.64
  6. Step 6: Final answer
    x = 2,871.10

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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.