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Finding the Fourth Proportional to 2,094.02, 3,140.67 and 759.68

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Solution

The fourth proportional to 2,094.02, 3,140.67 and 759.68 is: 1,139.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.02 : 3,140.67 = 759.68 : x
  2. Step 2: Convert to fraction form
    2,094.02/3,140.67 = 759.68/x
  3. Step 3: Cross multiply
    2,094.02x = 3,140.67 × 759.68
  4. Step 4: Simplify right side
    2,094.02x = 2,385,904.19
  5. Step 5: Solve for x
    x = 2,385,904.19/2,094.02
  6. Step 6: Final answer
    x = 1,139.39

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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.