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Finding the Fourth Proportional to 3,114.14, 4,669.98 and 922.28

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Solution

The fourth proportional to 3,114.14, 4,669.98 and 922.28 is: 1,383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.14 : 4,669.98 = 922.28 : x
  2. Step 2: Convert to fraction form
    3,114.14/4,669.98 = 922.28/x
  3. Step 3: Cross multiply
    3,114.14x = 4,669.98 × 922.28
  4. Step 4: Simplify right side
    3,114.14x = 4,307,005.80
  5. Step 5: Solve for x
    x = 4,307,005.80/3,114.14
  6. Step 6: Final answer
    x = 1,383.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.