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Finding the Fourth Proportional to 2,071.57, 2,858.87 and 1,187.38

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Solution

The fourth proportional to 2,071.57, 2,858.87 and 1,187.38 is: 1,638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.57 : 2,858.87 = 1,187.38 : x
  2. Step 2: Convert to fraction form
    2,071.57/2,858.87 = 1,187.38/x
  3. Step 3: Cross multiply
    2,071.57x = 2,858.87 × 1,187.38
  4. Step 4: Simplify right side
    2,071.57x = 3,394,557.91
  5. Step 5: Solve for x
    x = 3,394,557.91/2,071.57
  6. Step 6: Final answer
    x = 1,638.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.