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Finding the Fourth Proportional to 3,160.36, 4,737.48 and 1,774.36

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Solution

The fourth proportional to 3,160.36, 4,737.48 and 1,774.36 is: 2,659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.36 : 4,737.48 = 1,774.36 : x
  2. Step 2: Convert to fraction form
    3,160.36/4,737.48 = 1,774.36/x
  3. Step 3: Cross multiply
    3,160.36x = 4,737.48 × 1,774.36
  4. Step 4: Simplify right side
    3,160.36x = 8,405,995.01
  5. Step 5: Solve for x
    x = 8,405,995.01/3,160.36
  6. Step 6: Final answer
    x = 2,659.82

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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.