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Finding the Fourth Proportional to 1,208.16, 1,823.04 and 1,208.16

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Solution

The fourth proportional to 1,208.16, 1,823.04 and 1,208.16 is: 1,823.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.16 : 1,823.04 = 1,208.16 : x
  2. Step 2: Convert to fraction form
    1,208.16/1,823.04 = 1,208.16/x
  3. Step 3: Cross multiply
    1,208.16x = 1,823.04 × 1,208.16
  4. Step 4: Simplify right side
    1,208.16x = 2,202,524.01
  5. Step 5: Solve for x
    x = 2,202,524.01/1,208.16
  6. Step 6: Final answer
    x = 1,823.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.