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Finding the Fourth Proportional to 1,966.87, 2,716.91 and 1,445.64

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Solution

The fourth proportional to 1,966.87, 2,716.91 and 1,445.64 is: 1,996.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.87 : 2,716.91 = 1,445.64 : x
  2. Step 2: Convert to fraction form
    1,966.87/2,716.91 = 1,445.64/x
  3. Step 3: Cross multiply
    1,966.87x = 2,716.91 × 1,445.64
  4. Step 4: Simplify right side
    1,966.87x = 3,927,673.77
  5. Step 5: Solve for x
    x = 3,927,673.77/1,966.87
  6. Step 6: Final answer
    x = 1,996.92

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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.