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Finding the Fourth Proportional to 1,822.30, 2,732.78 and 651.98

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Solution

The fourth proportional to 1,822.30, 2,732.78 and 651.98 is: 977.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.30 : 2,732.78 = 651.98 : x
  2. Step 2: Convert to fraction form
    1,822.30/2,732.78 = 651.98/x
  3. Step 3: Cross multiply
    1,822.30x = 2,732.78 × 651.98
  4. Step 4: Simplify right side
    1,822.30x = 1,781,725.26
  5. Step 5: Solve for x
    x = 1,781,725.26/1,822.30
  6. Step 6: Final answer
    x = 977.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.