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Finding the Fourth Proportional to 2,818.51, 4,226.96 and 968.99

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Solution

The fourth proportional to 2,818.51, 4,226.96 and 968.99 is: 1,453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.51 : 4,226.96 = 968.99 : x
  2. Step 2: Convert to fraction form
    2,818.51/4,226.96 = 968.99/x
  3. Step 3: Cross multiply
    2,818.51x = 4,226.96 × 968.99
  4. Step 4: Simplify right side
    2,818.51x = 4,095,863.26
  5. Step 5: Solve for x
    x = 4,095,863.26/2,818.51
  6. Step 6: Final answer
    x = 1,453.20

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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.