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Finding the Fourth Proportional to 1,671.87, 2,307.18 and 1,082.40

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Solution

The fourth proportional to 1,671.87, 2,307.18 and 1,082.40 is: 1,493.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.87 : 2,307.18 = 1,082.40 : x
  2. Step 2: Convert to fraction form
    1,671.87/2,307.18 = 1,082.40/x
  3. Step 3: Cross multiply
    1,671.87x = 2,307.18 × 1,082.40
  4. Step 4: Simplify right side
    1,671.87x = 2,497,291.63
  5. Step 5: Solve for x
    x = 2,497,291.63/1,671.87
  6. Step 6: Final answer
    x = 1,493.71

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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.