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Finding the Fourth Proportional to 2,651.64, 3,978.90 and 1,113.72

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Solution

The fourth proportional to 2,651.64, 3,978.90 and 1,113.72 is: 1,671.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.64 : 3,978.90 = 1,113.72 : x
  2. Step 2: Convert to fraction form
    2,651.64/3,978.90 = 1,113.72/x
  3. Step 3: Cross multiply
    2,651.64x = 3,978.90 × 1,113.72
  4. Step 4: Simplify right side
    2,651.64x = 4,431,380.51
  5. Step 5: Solve for x
    x = 4,431,380.51/2,651.64
  6. Step 6: Final answer
    x = 1,671.18

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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.