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Finding the Fourth Proportional to 2,677.83, 4,015.76 and 922.34

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Solution

The fourth proportional to 2,677.83, 4,015.76 and 922.34 is: 1,383.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.83 : 4,015.76 = 922.34 : x
  2. Step 2: Convert to fraction form
    2,677.83/4,015.76 = 922.34/x
  3. Step 3: Cross multiply
    2,677.83x = 4,015.76 × 922.34
  4. Step 4: Simplify right side
    2,677.83x = 3,703,871.39
  5. Step 5: Solve for x
    x = 3,703,871.39/2,677.83
  6. Step 6: Final answer
    x = 1,383.16

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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.