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Finding the Fourth Proportional to 4,102.77, 6,149.80 and 1,636.53

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Solution

The fourth proportional to 4,102.77, 6,149.80 and 1,636.53 is: 2,453.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.77 : 6,149.80 = 1,636.53 : x
  2. Step 2: Convert to fraction form
    4,102.77/6,149.80 = 1,636.53/x
  3. Step 3: Cross multiply
    4,102.77x = 6,149.80 × 1,636.53
  4. Step 4: Simplify right side
    4,102.77x = 10,064,332.19
  5. Step 5: Solve for x
    x = 10,064,332.19/4,102.77
  6. Step 6: Final answer
    x = 2,453.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.