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Finding the Fourth Proportional to 1,208.16, 1,802.01 and 1,171.72

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Solution

The fourth proportional to 1,208.16, 1,802.01 and 1,171.72 is: 1,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.16 : 1,802.01 = 1,171.72 : x
  2. Step 2: Convert to fraction form
    1,208.16/1,802.01 = 1,171.72/x
  3. Step 3: Cross multiply
    1,208.16x = 1,802.01 × 1,171.72
  4. Step 4: Simplify right side
    1,208.16x = 2,111,451.16
  5. Step 5: Solve for x
    x = 2,111,451.16/1,208.16
  6. Step 6: Final answer
    x = 1,747.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.