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Finding the Fourth Proportional to 2,137.96, 3,207.40 and 751.24

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Solution

The fourth proportional to 2,137.96, 3,207.40 and 751.24 is: 1,127.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.96 : 3,207.40 = 751.24 : x
  2. Step 2: Convert to fraction form
    2,137.96/3,207.40 = 751.24/x
  3. Step 3: Cross multiply
    2,137.96x = 3,207.40 × 751.24
  4. Step 4: Simplify right side
    2,137.96x = 2,409,529.31
  5. Step 5: Solve for x
    x = 2,409,529.31/2,137.96
  6. Step 6: Final answer
    x = 1,127.02

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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.