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Finding the Fourth Proportional to 2,818.86, 4,228.29 and 969.99

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Solution

The fourth proportional to 2,818.86, 4,228.29 and 969.99 is: 1,454.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.86 : 4,228.29 = 969.99 : x
  2. Step 2: Convert to fraction form
    2,818.86/4,228.29 = 969.99/x
  3. Step 3: Cross multiply
    2,818.86x = 4,228.29 × 969.99
  4. Step 4: Simplify right side
    2,818.86x = 4,101,406.95
  5. Step 5: Solve for x
    x = 4,101,406.95/2,818.86
  6. Step 6: Final answer
    x = 1,454.99

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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.