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Finding the Fourth Proportional to 2,924.28, 4,385.94 and 976.50

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Solution

The fourth proportional to 2,924.28, 4,385.94 and 976.50 is: 1,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.28 : 4,385.94 = 976.50 : x
  2. Step 2: Convert to fraction form
    2,924.28/4,385.94 = 976.50/x
  3. Step 3: Cross multiply
    2,924.28x = 4,385.94 × 976.50
  4. Step 4: Simplify right side
    2,924.28x = 4,282,870.41
  5. Step 5: Solve for x
    x = 4,282,870.41/2,924.28
  6. Step 6: Final answer
    x = 1,464.59

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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.