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Finding the Fourth Proportional to 3,004.21, 4,504.69 and 923.59

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Solution

The fourth proportional to 3,004.21, 4,504.69 and 923.59 is: 1,384.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.21 : 4,504.69 = 923.59 : x
  2. Step 2: Convert to fraction form
    3,004.21/4,504.69 = 923.59/x
  3. Step 3: Cross multiply
    3,004.21x = 4,504.69 × 923.59
  4. Step 4: Simplify right side
    3,004.21x = 4,160,486.64
  5. Step 5: Solve for x
    x = 4,160,486.64/3,004.21
  6. Step 6: Final answer
    x = 1,384.89

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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.