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Finding the Fourth Proportional to 2,509.53, 3,763.83 and 1,048.29

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Solution

The fourth proportional to 2,509.53, 3,763.83 and 1,048.29 is: 1,572.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.53 : 3,763.83 = 1,048.29 : x
  2. Step 2: Convert to fraction form
    2,509.53/3,763.83 = 1,048.29/x
  3. Step 3: Cross multiply
    2,509.53x = 3,763.83 × 1,048.29
  4. Step 4: Simplify right side
    2,509.53x = 3,945,585.35
  5. Step 5: Solve for x
    x = 3,945,585.35/2,509.53
  6. Step 6: Final answer
    x = 1,572.24

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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.