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Finding the Fourth Proportional to 2,153.53, 2,971.74 and 1,209.16

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Solution

The fourth proportional to 2,153.53, 2,971.74 and 1,209.16 is: 1,668.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.53 : 2,971.74 = 1,209.16 : x
  2. Step 2: Convert to fraction form
    2,153.53/2,971.74 = 1,209.16/x
  3. Step 3: Cross multiply
    2,153.53x = 2,971.74 × 1,209.16
  4. Step 4: Simplify right side
    2,153.53x = 3,593,309.14
  5. Step 5: Solve for x
    x = 3,593,309.14/2,153.53
  6. Step 6: Final answer
    x = 1,668.57

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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.