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Finding the Fourth Proportional to 1,876.32, 2,588.83 and 1,212.12

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Solution

The fourth proportional to 1,876.32, 2,588.83 and 1,212.12 is: 1,672.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.32 : 2,588.83 = 1,212.12 : x
  2. Step 2: Convert to fraction form
    1,876.32/2,588.83 = 1,212.12/x
  3. Step 3: Cross multiply
    1,876.32x = 2,588.83 × 1,212.12
  4. Step 4: Simplify right side
    1,876.32x = 3,137,969.59
  5. Step 5: Solve for x
    x = 3,137,969.59/1,876.32
  6. Step 6: Final answer
    x = 1,672.41

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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.