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Finding the Fourth Proportional to 3,004.09, 4,506.59 and 923.86

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Solution

The fourth proportional to 3,004.09, 4,506.59 and 923.86 is: 1,385.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.09 : 4,506.59 = 923.86 : x
  2. Step 2: Convert to fraction form
    3,004.09/4,506.59 = 923.86/x
  3. Step 3: Cross multiply
    3,004.09x = 4,506.59 × 923.86
  4. Step 4: Simplify right side
    3,004.09x = 4,163,435.63
  5. Step 5: Solve for x
    x = 4,163,435.63/3,004.09
  6. Step 6: Final answer
    x = 1,385.92

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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.