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Finding the Fourth Proportional to 1,671.34, 2,305.68 and 1,082.07

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Solution

The fourth proportional to 1,671.34, 2,305.68 and 1,082.07 is: 1,492.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.34 : 2,305.68 = 1,082.07 : x
  2. Step 2: Convert to fraction form
    1,671.34/2,305.68 = 1,082.07/x
  3. Step 3: Cross multiply
    1,671.34x = 2,305.68 × 1,082.07
  4. Step 4: Simplify right side
    1,671.34x = 2,494,907.16
  5. Step 5: Solve for x
    x = 2,494,907.16/1,671.34
  6. Step 6: Final answer
    x = 1,492.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.