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Finding the Fourth Proportional to 1,475.00, 2,208.71 and 1,230.92

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Solution

The fourth proportional to 1,475.00, 2,208.71 and 1,230.92 is: 1,843.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.00 : 2,208.71 = 1,230.92 : x
  2. Step 2: Convert to fraction form
    1,475.00/2,208.71 = 1,230.92/x
  3. Step 3: Cross multiply
    1,475.00x = 2,208.71 × 1,230.92
  4. Step 4: Simplify right side
    1,475.00x = 2,718,728.12
  5. Step 5: Solve for x
    x = 2,718,728.12/1,475.00
  6. Step 6: Final answer
    x = 1,843.21

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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.