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Finding the Fourth Proportional to 2,584.80, 3,877.18 and 735.67

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Solution

The fourth proportional to 2,584.80, 3,877.18 and 735.67 is: 1,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.80 : 3,877.18 = 735.67 : x
  2. Step 2: Convert to fraction form
    2,584.80/3,877.18 = 735.67/x
  3. Step 3: Cross multiply
    2,584.80x = 3,877.18 × 735.67
  4. Step 4: Simplify right side
    2,584.80x = 2,852,332.86
  5. Step 5: Solve for x
    x = 2,852,332.86/2,584.80
  6. Step 6: Final answer
    x = 1,103.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.