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Finding the Fourth Proportional to 1,645.80, 2,468.70 and 1,281.30

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Solution

The fourth proportional to 1,645.80, 2,468.70 and 1,281.30 is: 1,921.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.80 : 2,468.70 = 1,281.30 : x
  2. Step 2: Convert to fraction form
    1,645.80/2,468.70 = 1,281.30/x
  3. Step 3: Cross multiply
    1,645.80x = 2,468.70 × 1,281.30
  4. Step 4: Simplify right side
    1,645.80x = 3,163,145.31
  5. Step 5: Solve for x
    x = 3,163,145.31/1,645.80
  6. Step 6: Final answer
    x = 1,921.95

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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.