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Finding the Fourth Proportional to 2,509.14, 3,764.26 and 1,048.44

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Solution

The fourth proportional to 2,509.14, 3,764.26 and 1,048.44 is: 1,572.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.14 : 3,764.26 = 1,048.44 : x
  2. Step 2: Convert to fraction form
    2,509.14/3,764.26 = 1,048.44/x
  3. Step 3: Cross multiply
    2,509.14x = 3,764.26 × 1,048.44
  4. Step 4: Simplify right side
    2,509.14x = 3,946,600.75
  5. Step 5: Solve for x
    x = 3,946,600.75/2,509.14
  6. Step 6: Final answer
    x = 1,572.89

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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.