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Finding the Fourth Proportional to 1,552.81, 2,142.06 and 1,179.17

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Solution

The fourth proportional to 1,552.81, 2,142.06 and 1,179.17 is: 1,626.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.81 : 2,142.06 = 1,179.17 : x
  2. Step 2: Convert to fraction form
    1,552.81/2,142.06 = 1,179.17/x
  3. Step 3: Cross multiply
    1,552.81x = 2,142.06 × 1,179.17
  4. Step 4: Simplify right side
    1,552.81x = 2,525,852.89
  5. Step 5: Solve for x
    x = 2,525,852.89/1,552.81
  6. Step 6: Final answer
    x = 1,626.63

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