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Finding the Fourth Proportional to 2,509.14, 3,763.02 and 1,048.05

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Solution

The fourth proportional to 2,509.14, 3,763.02 and 1,048.05 is: 1,571.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.14 : 3,763.02 = 1,048.05 : x
  2. Step 2: Convert to fraction form
    2,509.14/3,763.02 = 1,048.05/x
  3. Step 3: Cross multiply
    2,509.14x = 3,763.02 × 1,048.05
  4. Step 4: Simplify right side
    2,509.14x = 3,943,833.11
  5. Step 5: Solve for x
    x = 3,943,833.11/2,509.14
  6. Step 6: Final answer
    x = 1,571.79

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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.