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Finding the Fourth Proportional to 2,166.04, 3,246 and 1,069.30

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Solution

The fourth proportional to 2,166.04, 3,246 and 1,069.30 is: 1,602.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.04 : 3,246 = 1,069.30 : x
  2. Step 2: Convert to fraction form
    2,166.04/3,246 = 1,069.30/x
  3. Step 3: Cross multiply
    2,166.04x = 3,246 × 1,069.30
  4. Step 4: Simplify right side
    2,166.04x = 3,470,947.80
  5. Step 5: Solve for x
    x = 3,470,947.80/2,166.04
  6. Step 6: Final answer
    x = 1,602.44

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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.