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Finding the Fourth Proportional to 2,373.71, 3,266.73 and 1,944.81

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Solution

The fourth proportional to 2,373.71, 3,266.73 and 1,944.81 is: 2,676.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.71 : 3,266.73 = 1,944.81 : x
  2. Step 2: Convert to fraction form
    2,373.71/3,266.73 = 1,944.81/x
  3. Step 3: Cross multiply
    2,373.71x = 3,266.73 × 1,944.81
  4. Step 4: Simplify right side
    2,373.71x = 6,353,169.17
  5. Step 5: Solve for x
    x = 6,353,169.17/2,373.71
  6. Step 6: Final answer
    x = 2,676.48

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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.