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Finding the Fourth Proportional to 1,876.12, 2,585.94 and 1,409.56

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Solution

The fourth proportional to 1,876.12, 2,585.94 and 1,409.56 is: 1,942.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.12 : 2,585.94 = 1,409.56 : x
  2. Step 2: Convert to fraction form
    1,876.12/2,585.94 = 1,409.56/x
  3. Step 3: Cross multiply
    1,876.12x = 2,585.94 × 1,409.56
  4. Step 4: Simplify right side
    1,876.12x = 3,645,037.59
  5. Step 5: Solve for x
    x = 3,645,037.59/1,876.12
  6. Step 6: Final answer
    x = 1,942.86

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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.