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Finding the Fourth Proportional to 2,686.56, 3,704.16 and 1,845.60

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Solution

The fourth proportional to 2,686.56, 3,704.16 and 1,845.60 is: 2,544.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.56 : 3,704.16 = 1,845.60 : x
  2. Step 2: Convert to fraction form
    2,686.56/3,704.16 = 1,845.60/x
  3. Step 3: Cross multiply
    2,686.56x = 3,704.16 × 1,845.60
  4. Step 4: Simplify right side
    2,686.56x = 6,836,397.70
  5. Step 5: Solve for x
    x = 6,836,397.70/2,686.56
  6. Step 6: Final answer
    x = 2,544.67

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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.