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Finding the Fourth Proportional to 2,670.72, 4,004.16 and 1,209.12

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Solution

The fourth proportional to 2,670.72, 4,004.16 and 1,209.12 is: 1,812.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.72 : 4,004.16 = 1,209.12 : x
  2. Step 2: Convert to fraction form
    2,670.72/4,004.16 = 1,209.12/x
  3. Step 3: Cross multiply
    2,670.72x = 4,004.16 × 1,209.12
  4. Step 4: Simplify right side
    2,670.72x = 4,841,509.94
  5. Step 5: Solve for x
    x = 4,841,509.94/2,670.72
  6. Step 6: Final answer
    x = 1,812.81

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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.