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Finding the Fourth Proportional to 1,821.70, 2,732.69 and 651.95

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Solution

The fourth proportional to 1,821.70, 2,732.69 and 651.95 is: 977.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.70 : 2,732.69 = 651.95 : x
  2. Step 2: Convert to fraction form
    1,821.70/2,732.69 = 651.95/x
  3. Step 3: Cross multiply
    1,821.70x = 2,732.69 × 651.95
  4. Step 4: Simplify right side
    1,821.70x = 1,781,577.25
  5. Step 5: Solve for x
    x = 1,781,577.25/1,821.70
  6. Step 6: Final answer
    x = 977.98

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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.