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Finding the Fourth Proportional to 2,617.92, 3,928.50 and 975.65

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Solution

The fourth proportional to 2,617.92, 3,928.50 and 975.65 is: 1,464.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.92 : 3,928.50 = 975.65 : x
  2. Step 2: Convert to fraction form
    2,617.92/3,928.50 = 975.65/x
  3. Step 3: Cross multiply
    2,617.92x = 3,928.50 × 975.65
  4. Step 4: Simplify right side
    2,617.92x = 3,832,821.38
  5. Step 5: Solve for x
    x = 3,832,821.38/2,617.92
  6. Step 6: Final answer
    x = 1,464.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.