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Finding the Fourth Proportional to 2,643.66, 3,966.30 and 1,668.42

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Solution

The fourth proportional to 2,643.66, 3,966.30 and 1,668.42 is: 2,503.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.66 : 3,966.30 = 1,668.42 : x
  2. Step 2: Convert to fraction form
    2,643.66/3,966.30 = 1,668.42/x
  3. Step 3: Cross multiply
    2,643.66x = 3,966.30 × 1,668.42
  4. Step 4: Simplify right side
    2,643.66x = 6,617,454.25
  5. Step 5: Solve for x
    x = 6,617,454.25/2,643.66
  6. Step 6: Final answer
    x = 2,503.14

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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.