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Finding the Fourth Proportional to 2,321.97, 3,482.03 and 1,348.76

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Solution

The fourth proportional to 2,321.97, 3,482.03 and 1,348.76 is: 2,022.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.97 : 3,482.03 = 1,348.76 : x
  2. Step 2: Convert to fraction form
    2,321.97/3,482.03 = 1,348.76/x
  3. Step 3: Cross multiply
    2,321.97x = 3,482.03 × 1,348.76
  4. Step 4: Simplify right side
    2,321.97x = 4,696,398.63
  5. Step 5: Solve for x
    x = 4,696,398.63/2,321.97
  6. Step 6: Final answer
    x = 2,022.59

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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.