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Finding the Fourth Proportional to 2,247.99, 3,102.60 and 1,660.23

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Solution

The fourth proportional to 2,247.99, 3,102.60 and 1,660.23 is: 2,291.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.99 : 3,102.60 = 1,660.23 : x
  2. Step 2: Convert to fraction form
    2,247.99/3,102.60 = 1,660.23/x
  3. Step 3: Cross multiply
    2,247.99x = 3,102.60 × 1,660.23
  4. Step 4: Simplify right side
    2,247.99x = 5,151,035.82
  5. Step 5: Solve for x
    x = 5,151,035.82/2,247.99
  6. Step 6: Final answer
    x = 2,291.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.