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Finding the Fourth Proportional to 1,585.80, 2,187.36 and 1,212.84

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Solution

The fourth proportional to 1,585.80, 2,187.36 and 1,212.84 is: 1,672.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.80 : 2,187.36 = 1,212.84 : x
  2. Step 2: Convert to fraction form
    1,585.80/2,187.36 = 1,212.84/x
  3. Step 3: Cross multiply
    1,585.80x = 2,187.36 × 1,212.84
  4. Step 4: Simplify right side
    1,585.80x = 2,652,917.70
  5. Step 5: Solve for x
    x = 2,652,917.70/1,585.80
  6. Step 6: Final answer
    x = 1,672.92

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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.