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Finding the Fourth Proportional to 2,122.45, 2,928.84 and 1,178.18

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Solution

The fourth proportional to 2,122.45, 2,928.84 and 1,178.18 is: 1,625.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.45 : 2,928.84 = 1,178.18 : x
  2. Step 2: Convert to fraction form
    2,122.45/2,928.84 = 1,178.18/x
  3. Step 3: Cross multiply
    2,122.45x = 2,928.84 × 1,178.18
  4. Step 4: Simplify right side
    2,122.45x = 3,450,699.26
  5. Step 5: Solve for x
    x = 3,450,699.26/2,122.45
  6. Step 6: Final answer
    x = 1,625.81

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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.