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Finding the Fourth Proportional to 2,549.36, 3,814.92 and 1,509.92

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Solution

The fourth proportional to 2,549.36, 3,814.92 and 1,509.92 is: 2,259.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.36 : 3,814.92 = 1,509.92 : x
  2. Step 2: Convert to fraction form
    2,549.36/3,814.92 = 1,509.92/x
  3. Step 3: Cross multiply
    2,549.36x = 3,814.92 × 1,509.92
  4. Step 4: Simplify right side
    2,549.36x = 5,760,224.01
  5. Step 5: Solve for x
    x = 5,760,224.01/2,549.36
  6. Step 6: Final answer
    x = 2,259.48

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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.