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Finding the Fourth Proportional to 2,944.48, 4,416.96 and 1,646.88

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Solution

The fourth proportional to 2,944.48, 4,416.96 and 1,646.88 is: 2,470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.48 : 4,416.96 = 1,646.88 : x
  2. Step 2: Convert to fraction form
    2,944.48/4,416.96 = 1,646.88/x
  3. Step 3: Cross multiply
    2,944.48x = 4,416.96 × 1,646.88
  4. Step 4: Simplify right side
    2,944.48x = 7,274,203.08
  5. Step 5: Solve for x
    x = 7,274,203.08/2,944.48
  6. Step 6: Final answer
    x = 2,470.45

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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.