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Finding the Fourth Proportional to 2,047.59, 3,070.98 and 748.62

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Solution

The fourth proportional to 2,047.59, 3,070.98 and 748.62 is: 1,122.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.59 : 3,070.98 = 748.62 : x
  2. Step 2: Convert to fraction form
    2,047.59/3,070.98 = 748.62/x
  3. Step 3: Cross multiply
    2,047.59x = 3,070.98 × 748.62
  4. Step 4: Simplify right side
    2,047.59x = 2,298,997.05
  5. Step 5: Solve for x
    x = 2,298,997.05/2,047.59
  6. Step 6: Final answer
    x = 1,122.78

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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.