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Finding the Fourth Proportional to 2,723.61, 4,084.49 and 968.53

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Solution

The fourth proportional to 2,723.61, 4,084.49 and 968.53 is: 1,452.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.61 : 4,084.49 = 968.53 : x
  2. Step 2: Convert to fraction form
    2,723.61/4,084.49 = 968.53/x
  3. Step 3: Cross multiply
    2,723.61x = 4,084.49 × 968.53
  4. Step 4: Simplify right side
    2,723.61x = 3,955,946.26
  5. Step 5: Solve for x
    x = 3,955,946.26/2,723.61
  6. Step 6: Final answer
    x = 1,452.47

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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.