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Finding the Fourth Proportional to 2,509.56, 3,762.76 and 865.96

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Solution

The fourth proportional to 2,509.56, 3,762.76 and 865.96 is: 1,298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.56 : 3,762.76 = 865.96 : x
  2. Step 2: Convert to fraction form
    2,509.56/3,762.76 = 865.96/x
  3. Step 3: Cross multiply
    2,509.56x = 3,762.76 × 865.96
  4. Step 4: Simplify right side
    2,509.56x = 3,258,399.65
  5. Step 5: Solve for x
    x = 3,258,399.65/2,509.56
  6. Step 6: Final answer
    x = 1,298.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.