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Finding the Fourth Proportional to 2,818.50, 4,228.08 and 969.94

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Solution

The fourth proportional to 2,818.50, 4,228.08 and 969.94 is: 1,455.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.50 : 4,228.08 = 969.94 : x
  2. Step 2: Convert to fraction form
    2,818.50/4,228.08 = 969.94/x
  3. Step 3: Cross multiply
    2,818.50x = 4,228.08 × 969.94
  4. Step 4: Simplify right side
    2,818.50x = 4,100,983.92
  5. Step 5: Solve for x
    x = 4,100,983.92/2,818.50
  6. Step 6: Final answer
    x = 1,455.02

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1.5x scale

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.