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Finding the Fourth Proportional to 2,637.86, 3,640.02 and 1,458.64

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Solution

The fourth proportional to 2,637.86, 3,640.02 and 1,458.64 is: 2,012.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.86 : 3,640.02 = 1,458.64 : x
  2. Step 2: Convert to fraction form
    2,637.86/3,640.02 = 1,458.64/x
  3. Step 3: Cross multiply
    2,637.86x = 3,640.02 × 1,458.64
  4. Step 4: Simplify right side
    2,637.86x = 5,309,460.57
  5. Step 5: Solve for x
    x = 5,309,460.57/2,637.86
  6. Step 6: Final answer
    x = 2,012.79

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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.