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Finding the Fourth Proportional to 2,166.96, 2,990.60 and 1,210.04

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Solution

The fourth proportional to 2,166.96, 2,990.60 and 1,210.04 is: 1,669.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.96 : 2,990.60 = 1,210.04 : x
  2. Step 2: Convert to fraction form
    2,166.96/2,990.60 = 1,210.04/x
  3. Step 3: Cross multiply
    2,166.96x = 2,990.60 × 1,210.04
  4. Step 4: Simplify right side
    2,166.96x = 3,618,733.70
  5. Step 5: Solve for x
    x = 3,618,733.70/2,166.96
  6. Step 6: Final answer
    x = 1,669.96

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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.