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Finding the Fourth Proportional to 2,618.28, 3,928.95 and 975.96

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Solution

The fourth proportional to 2,618.28, 3,928.95 and 975.96 is: 1,464.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.28 : 3,928.95 = 975.96 : x
  2. Step 2: Convert to fraction form
    2,618.28/3,928.95 = 975.96/x
  3. Step 3: Cross multiply
    2,618.28x = 3,928.95 × 975.96
  4. Step 4: Simplify right side
    2,618.28x = 3,834,498.04
  5. Step 5: Solve for x
    x = 3,834,498.04/2,618.28
  6. Step 6: Final answer
    x = 1,464.51

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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.