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Finding the Fourth Proportional to 2,944.24, 4,416.45 and 753.01

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Solution

The fourth proportional to 2,944.24, 4,416.45 and 753.01 is: 1,129.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.24 : 4,416.45 = 753.01 : x
  2. Step 2: Convert to fraction form
    2,944.24/4,416.45 = 753.01/x
  3. Step 3: Cross multiply
    2,944.24x = 4,416.45 × 753.01
  4. Step 4: Simplify right side
    2,944.24x = 3,325,631.01
  5. Step 5: Solve for x
    x = 3,325,631.01/2,944.24
  6. Step 6: Final answer
    x = 1,129.54

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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.