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Finding the Fourth Proportional to 3,016.88, 4,525.44 and 1,284.32

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Solution

The fourth proportional to 3,016.88, 4,525.44 and 1,284.32 is: 1,926.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.88 : 4,525.44 = 1,284.32 : x
  2. Step 2: Convert to fraction form
    3,016.88/4,525.44 = 1,284.32/x
  3. Step 3: Cross multiply
    3,016.88x = 4,525.44 × 1,284.32
  4. Step 4: Simplify right side
    3,016.88x = 5,812,113.10
  5. Step 5: Solve for x
    x = 5,812,113.10/3,016.88
  6. Step 6: Final answer
    x = 1,926.53

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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.