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Finding the Fourth Proportional to 2,311.18, 3,467.09 and 750.68

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Solution

The fourth proportional to 2,311.18, 3,467.09 and 750.68 is: 1,126.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.18 : 3,467.09 = 750.68 : x
  2. Step 2: Convert to fraction form
    2,311.18/3,467.09 = 750.68/x
  3. Step 3: Cross multiply
    2,311.18x = 3,467.09 × 750.68
  4. Step 4: Simplify right side
    2,311.18x = 2,602,676.48
  5. Step 5: Solve for x
    x = 2,602,676.48/2,311.18
  6. Step 6: Final answer
    x = 1,126.13

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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.