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Finding the Fourth Proportional to 2,656.80, 3,987.02 and 1,014.73

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Solution

The fourth proportional to 2,656.80, 3,987.02 and 1,014.73 is: 1,522.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.80 : 3,987.02 = 1,014.73 : x
  2. Step 2: Convert to fraction form
    2,656.80/3,987.02 = 1,014.73/x
  3. Step 3: Cross multiply
    2,656.80x = 3,987.02 × 1,014.73
  4. Step 4: Simplify right side
    2,656.80x = 4,045,741.37
  5. Step 5: Solve for x
    x = 4,045,741.37/2,656.80
  6. Step 6: Final answer
    x = 1,522.79

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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.