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Finding the Fourth Proportional to 4,102.65, 6,150.30 and 1,504.98

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Solution

The fourth proportional to 4,102.65, 6,150.30 and 1,504.98 is: 2,256.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.65 : 6,150.30 = 1,504.98 : x
  2. Step 2: Convert to fraction form
    4,102.65/6,150.30 = 1,504.98/x
  3. Step 3: Cross multiply
    4,102.65x = 6,150.30 × 1,504.98
  4. Step 4: Simplify right side
    4,102.65x = 9,256,078.49
  5. Step 5: Solve for x
    x = 9,256,078.49/4,102.65
  6. Step 6: Final answer
    x = 2,256.12

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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.