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Finding the Fourth Proportional to 4,156.01, 6,232.95 and 1,233.64

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Solution

The fourth proportional to 4,156.01, 6,232.95 and 1,233.64 is: 1,850.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.01 : 6,232.95 = 1,233.64 : x
  2. Step 2: Convert to fraction form
    4,156.01/6,232.95 = 1,233.64/x
  3. Step 3: Cross multiply
    4,156.01x = 6,232.95 × 1,233.64
  4. Step 4: Simplify right side
    4,156.01x = 7,689,216.44
  5. Step 5: Solve for x
    x = 7,689,216.44/4,156.01
  6. Step 6: Final answer
    x = 1,850.14

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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.