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Finding the Fourth Proportional to 1,966.30, 2,932.88 and 1,830.22

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Solution

The fourth proportional to 1,966.30, 2,932.88 and 1,830.22 is: 2,729.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.30 : 2,932.88 = 1,830.22 : x
  2. Step 2: Convert to fraction form
    1,966.30/2,932.88 = 1,830.22/x
  3. Step 3: Cross multiply
    1,966.30x = 2,932.88 × 1,830.22
  4. Step 4: Simplify right side
    1,966.30x = 5,367,815.63
  5. Step 5: Solve for x
    x = 5,367,815.63/1,966.30
  6. Step 6: Final answer
    x = 2,729.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.