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Finding the Fourth Proportional to 1,835.43, 2,752.83 and 847.95

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Solution

The fourth proportional to 1,835.43, 2,752.83 and 847.95 is: 1,271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.43 : 2,752.83 = 847.95 : x
  2. Step 2: Convert to fraction form
    1,835.43/2,752.83 = 847.95/x
  3. Step 3: Cross multiply
    1,835.43x = 2,752.83 × 847.95
  4. Step 4: Simplify right side
    1,835.43x = 2,334,262.20
  5. Step 5: Solve for x
    x = 2,334,262.20/1,835.43
  6. Step 6: Final answer
    x = 1,271.78

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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.