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Finding the Fourth Proportional to 3,113.56, 4,671.02 and 922.46

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Solution

The fourth proportional to 3,113.56, 4,671.02 and 922.46 is: 1,383.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.56 : 4,671.02 = 922.46 : x
  2. Step 2: Convert to fraction form
    3,113.56/4,671.02 = 922.46/x
  3. Step 3: Cross multiply
    3,113.56x = 4,671.02 × 922.46
  4. Step 4: Simplify right side
    3,113.56x = 4,308,829.11
  5. Step 5: Solve for x
    x = 4,308,829.11/3,113.56
  6. Step 6: Final answer
    x = 1,383.89

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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.