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Finding the Fourth Proportional to 1,822.08, 2,732.64 and 847.92

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Solution

The fourth proportional to 1,822.08, 2,732.64 and 847.92 is: 1,271.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.08 : 2,732.64 = 847.92 : x
  2. Step 2: Convert to fraction form
    1,822.08/2,732.64 = 847.92/x
  3. Step 3: Cross multiply
    1,822.08x = 2,732.64 × 847.92
  4. Step 4: Simplify right side
    1,822.08x = 2,317,060.11
  5. Step 5: Solve for x
    x = 2,317,060.11/1,822.08
  6. Step 6: Final answer
    x = 1,271.66

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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.