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Finding the Fourth Proportional to 2,102.09, 3,153.06 and 716.11

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Solution

The fourth proportional to 2,102.09, 3,153.06 and 716.11 is: 1,074.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.09 : 3,153.06 = 716.11 : x
  2. Step 2: Convert to fraction form
    2,102.09/3,153.06 = 716.11/x
  3. Step 3: Cross multiply
    2,102.09x = 3,153.06 × 716.11
  4. Step 4: Simplify right side
    2,102.09x = 2,257,929.91
  5. Step 5: Solve for x
    x = 2,257,929.91/2,102.09
  6. Step 6: Final answer
    x = 1,074.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.