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Finding the Fourth Proportional to 3,003.24, 4,505.53 and 923.43

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Solution

The fourth proportional to 3,003.24, 4,505.53 and 923.43 is: 1,385.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.24 : 4,505.53 = 923.43 : x
  2. Step 2: Convert to fraction form
    3,003.24/4,505.53 = 923.43/x
  3. Step 3: Cross multiply
    3,003.24x = 4,505.53 × 923.43
  4. Step 4: Simplify right side
    3,003.24x = 4,160,541.57
  5. Step 5: Solve for x
    x = 4,160,541.57/3,003.24
  6. Step 6: Final answer
    x = 1,385.35

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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.