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Finding the Fourth Proportional to 2,078.68, 3,115.14 and 1,051.48

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Solution

The fourth proportional to 2,078.68, 3,115.14 and 1,051.48 is: 1,575.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.68 : 3,115.14 = 1,051.48 : x
  2. Step 2: Convert to fraction form
    2,078.68/3,115.14 = 1,051.48/x
  3. Step 3: Cross multiply
    2,078.68x = 3,115.14 × 1,051.48
  4. Step 4: Simplify right side
    2,078.68x = 3,275,507.41
  5. Step 5: Solve for x
    x = 3,275,507.41/2,078.68
  6. Step 6: Final answer
    x = 1,575.76

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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.