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Finding the Fourth Proportional to 1,417.84, 1,954.92 and 1,168.96

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Solution

The fourth proportional to 1,417.84, 1,954.92 and 1,168.96 is: 1,611.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.84 : 1,954.92 = 1,168.96 : x
  2. Step 2: Convert to fraction form
    1,417.84/1,954.92 = 1,168.96/x
  3. Step 3: Cross multiply
    1,417.84x = 1,954.92 × 1,168.96
  4. Step 4: Simplify right side
    1,417.84x = 2,285,223.28
  5. Step 5: Solve for x
    x = 2,285,223.28/1,417.84
  6. Step 6: Final answer
    x = 1,611.76

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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.