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Finding the Fourth Proportional to 2,636.86, 3,638.82 and 1,458.04

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Solution

The fourth proportional to 2,636.86, 3,638.82 and 1,458.04 is: 2,012.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.86 : 3,638.82 = 1,458.04 : x
  2. Step 2: Convert to fraction form
    2,636.86/3,638.82 = 1,458.04/x
  3. Step 3: Cross multiply
    2,636.86x = 3,638.82 × 1,458.04
  4. Step 4: Simplify right side
    2,636.86x = 5,305,545.11
  5. Step 5: Solve for x
    x = 5,305,545.11/2,636.86
  6. Step 6: Final answer
    x = 2,012.07

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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.