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Finding the Fourth Proportional to 2,742.81, 3,777.48 and 2,369.67

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Solution

The fourth proportional to 2,742.81, 3,777.48 and 2,369.67 is: 3,263.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.81 : 3,777.48 = 2,369.67 : x
  2. Step 2: Convert to fraction form
    2,742.81/3,777.48 = 2,369.67/x
  3. Step 3: Cross multiply
    2,742.81x = 3,777.48 × 2,369.67
  4. Step 4: Simplify right side
    2,742.81x = 8,951,381.03
  5. Step 5: Solve for x
    x = 8,951,381.03/2,742.81
  6. Step 6: Final answer
    x = 3,263.58

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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.