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Finding the Fourth Proportional to 3,137.35, 4,703.02 and 1,162.45

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Solution

The fourth proportional to 3,137.35, 4,703.02 and 1,162.45 is: 1,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.35 : 4,703.02 = 1,162.45 : x
  2. Step 2: Convert to fraction form
    3,137.35/4,703.02 = 1,162.45/x
  3. Step 3: Cross multiply
    3,137.35x = 4,703.02 × 1,162.45
  4. Step 4: Simplify right side
    3,137.35x = 5,467,025.60
  5. Step 5: Solve for x
    x = 5,467,025.60/3,137.35
  6. Step 6: Final answer
    x = 1,742.56

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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.