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Finding the Fourth Proportional to 1,966.64, 2,949.95 and 668.07

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Solution

The fourth proportional to 1,966.64, 2,949.95 and 668.07 is: 1,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.64 : 2,949.95 = 668.07 : x
  2. Step 2: Convert to fraction form
    1,966.64/2,949.95 = 668.07/x
  3. Step 3: Cross multiply
    1,966.64x = 2,949.95 × 668.07
  4. Step 4: Simplify right side
    1,966.64x = 1,970,769.76
  5. Step 5: Solve for x
    x = 1,970,769.76/1,966.64
  6. Step 6: Final answer
    x = 1,002.10

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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.