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Finding the Fourth Proportional to 2,818.01, 4,225.93 and 968.78

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Solution

The fourth proportional to 2,818.01, 4,225.93 and 968.78 is: 1,452.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.01 : 4,225.93 = 968.78 : x
  2. Step 2: Convert to fraction form
    2,818.01/4,225.93 = 968.78/x
  3. Step 3: Cross multiply
    2,818.01x = 4,225.93 × 968.78
  4. Step 4: Simplify right side
    2,818.01x = 4,093,970.49
  5. Step 5: Solve for x
    x = 4,093,970.49/2,818.01
  6. Step 6: Final answer
    x = 1,452.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.