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Finding the Fourth Proportional to 1,723.64, 2,378.54 and 937.68

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Solution

The fourth proportional to 1,723.64, 2,378.54 and 937.68 is: 1,293.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.64 : 2,378.54 = 937.68 : x
  2. Step 2: Convert to fraction form
    1,723.64/2,378.54 = 937.68/x
  3. Step 3: Cross multiply
    1,723.64x = 2,378.54 × 937.68
  4. Step 4: Simplify right side
    1,723.64x = 2,230,311.73
  5. Step 5: Solve for x
    x = 2,230,311.73/1,723.64
  6. Step 6: Final answer
    x = 1,293.96

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1.5x scale

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.