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Finding the Fourth Proportional to 2,063.17, 3,094.30 and 746.72

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Solution

The fourth proportional to 2,063.17, 3,094.30 and 746.72 is: 1,119.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.17 : 3,094.30 = 746.72 : x
  2. Step 2: Convert to fraction form
    2,063.17/3,094.30 = 746.72/x
  3. Step 3: Cross multiply
    2,063.17x = 3,094.30 × 746.72
  4. Step 4: Simplify right side
    2,063.17x = 2,310,572.76
  5. Step 5: Solve for x
    x = 2,310,572.76/2,063.17
  6. Step 6: Final answer
    x = 1,119.91

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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.