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Finding the Fourth Proportional to 1,723.53, 2,378.49 and 977.47

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Solution

The fourth proportional to 1,723.53, 2,378.49 and 977.47 is: 1,348.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.53 : 2,378.49 = 977.47 : x
  2. Step 2: Convert to fraction form
    1,723.53/2,378.49 = 977.47/x
  3. Step 3: Cross multiply
    1,723.53x = 2,378.49 × 977.47
  4. Step 4: Simplify right side
    1,723.53x = 2,324,902.62
  5. Step 5: Solve for x
    x = 2,324,902.62/1,723.53
  6. Step 6: Final answer
    x = 1,348.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.