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Finding the Fourth Proportional to 2,300.68, 3,174.87 and 1,278.63

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Solution

The fourth proportional to 2,300.68, 3,174.87 and 1,278.63 is: 1,764.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.68 : 3,174.87 = 1,278.63 : x
  2. Step 2: Convert to fraction form
    2,300.68/3,174.87 = 1,278.63/x
  3. Step 3: Cross multiply
    2,300.68x = 3,174.87 × 1,278.63
  4. Step 4: Simplify right side
    2,300.68x = 4,059,473.90
  5. Step 5: Solve for x
    x = 4,059,473.90/2,300.68
  6. Step 6: Final answer
    x = 1,764.47

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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.