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Finding the Fourth Proportional to 2,944.56, 4,416 and 1,712.64

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Solution

The fourth proportional to 2,944.56, 4,416 and 1,712.64 is: 2,568.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.56 : 4,416 = 1,712.64 : x
  2. Step 2: Convert to fraction form
    2,944.56/4,416 = 1,712.64/x
  3. Step 3: Cross multiply
    2,944.56x = 4,416 × 1,712.64
  4. Step 4: Simplify right side
    2,944.56x = 7,563,018.24
  5. Step 5: Solve for x
    x = 7,563,018.24/2,944.56
  6. Step 6: Final answer
    x = 2,568.47

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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.