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Finding the Fourth Proportional to 2,093.02, 2,888.62 and 1,209.04

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Solution

The fourth proportional to 2,093.02, 2,888.62 and 1,209.04 is: 1,668.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.02 : 2,888.62 = 1,209.04 : x
  2. Step 2: Convert to fraction form
    2,093.02/2,888.62 = 1,209.04/x
  3. Step 3: Cross multiply
    2,093.02x = 2,888.62 × 1,209.04
  4. Step 4: Simplify right side
    2,093.02x = 3,492,457.12
  5. Step 5: Solve for x
    x = 3,492,457.12/2,093.02
  6. Step 6: Final answer
    x = 1,668.62

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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.