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Finding the Fourth Proportional to 1,876.70, 2,589.36 and 1,278.14

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Solution

The fourth proportional to 1,876.70, 2,589.36 and 1,278.14 is: 1,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.70 : 2,589.36 = 1,278.14 : x
  2. Step 2: Convert to fraction form
    1,876.70/2,589.36 = 1,278.14/x
  3. Step 3: Cross multiply
    1,876.70x = 2,589.36 × 1,278.14
  4. Step 4: Simplify right side
    1,876.70x = 3,309,551.64
  5. Step 5: Solve for x
    x = 3,309,551.64/1,876.70
  6. Step 6: Final answer
    x = 1,763.50

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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.