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Finding the Fourth Proportional to 2,978.10, 4,109.51 and 1,651.46

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Solution

The fourth proportional to 2,978.10, 4,109.51 and 1,651.46 is: 2,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.10 : 4,109.51 = 1,651.46 : x
  2. Step 2: Convert to fraction form
    2,978.10/4,109.51 = 1,651.46/x
  3. Step 3: Cross multiply
    2,978.10x = 4,109.51 × 1,651.46
  4. Step 4: Simplify right side
    2,978.10x = 6,786,662.58
  5. Step 5: Solve for x
    x = 6,786,662.58/2,978.10
  6. Step 6: Final answer
    x = 2,278.86

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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.