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Finding the Fourth Proportional to 1,847.76, 2,772.84 and 693.50

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Solution

The fourth proportional to 1,847.76, 2,772.84 and 693.50 is: 1,040.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.76 : 2,772.84 = 693.50 : x
  2. Step 2: Convert to fraction form
    1,847.76/2,772.84 = 693.50/x
  3. Step 3: Cross multiply
    1,847.76x = 2,772.84 × 693.50
  4. Step 4: Simplify right side
    1,847.76x = 1,922,964.54
  5. Step 5: Solve for x
    x = 1,922,964.54/1,847.76
  6. Step 6: Final answer
    x = 1,040.70

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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.