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Finding the Fourth Proportional to 1,821.85, 2,732.77 and 847.82

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Solution

The fourth proportional to 1,821.85, 2,732.77 and 847.82 is: 1,271.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.85 : 2,732.77 = 847.82 : x
  2. Step 2: Convert to fraction form
    1,821.85/2,732.77 = 847.82/x
  3. Step 3: Cross multiply
    1,821.85x = 2,732.77 × 847.82
  4. Step 4: Simplify right side
    1,821.85x = 2,316,897.06
  5. Step 5: Solve for x
    x = 2,316,897.06/1,821.85
  6. Step 6: Final answer
    x = 1,271.73

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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.