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Finding the Fourth Proportional to 2,928.96, 4,395.06 and 1,631.16

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Solution

The fourth proportional to 2,928.96, 4,395.06 and 1,631.16 is: 2,447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,928.96 : 4,395.06 = 1,631.16 : x
  2. Step 2: Convert to fraction form
    2,928.96/4,395.06 = 1,631.16/x
  3. Step 3: Cross multiply
    2,928.96x = 4,395.06 × 1,631.16
  4. Step 4: Simplify right side
    2,928.96x = 7,169,046.07
  5. Step 5: Solve for x
    x = 7,169,046.07/2,928.96
  6. Step 6: Final answer
    x = 2,447.64

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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.