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Finding the Fourth Proportional to 3,113.70, 4,669.19 and 922.59

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Solution

The fourth proportional to 3,113.70, 4,669.19 and 922.59 is: 1,383.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.70 : 4,669.19 = 922.59 : x
  2. Step 2: Convert to fraction form
    3,113.70/4,669.19 = 922.59/x
  3. Step 3: Cross multiply
    3,113.70x = 4,669.19 × 922.59
  4. Step 4: Simplify right side
    3,113.70x = 4,307,750.31
  5. Step 5: Solve for x
    x = 4,307,750.31/3,113.70
  6. Step 6: Final answer
    x = 1,383.48

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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.