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Finding the Fourth Proportional to 2,170.83, 2,992.64 and 1,548.75

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Solution

The fourth proportional to 2,170.83, 2,992.64 and 1,548.75 is: 2,135.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.83 : 2,992.64 = 1,548.75 : x
  2. Step 2: Convert to fraction form
    2,170.83/2,992.64 = 1,548.75/x
  3. Step 3: Cross multiply
    2,170.83x = 2,992.64 × 1,548.75
  4. Step 4: Simplify right side
    2,170.83x = 4,634,843.46
  5. Step 5: Solve for x
    x = 4,634,843.46/2,170.83
  6. Step 6: Final answer
    x = 2,135.06

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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.