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Finding the Fourth Proportional to 2,675.64, 4,014.06 and 944.25

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Solution

The fourth proportional to 2,675.64, 4,014.06 and 944.25 is: 1,416.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.64 : 4,014.06 = 944.25 : x
  2. Step 2: Convert to fraction form
    2,675.64/4,014.06 = 944.25/x
  3. Step 3: Cross multiply
    2,675.64x = 4,014.06 × 944.25
  4. Step 4: Simplify right side
    2,675.64x = 3,790,276.16
  5. Step 5: Solve for x
    x = 3,790,276.16/2,675.64
  6. Step 6: Final answer
    x = 1,416.59

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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.