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Finding the Fourth Proportional to 2,509.11, 3,763.40 and 865.77

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Solution

The fourth proportional to 2,509.11, 3,763.40 and 865.77 is: 1,298.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.11 : 3,763.40 = 865.77 : x
  2. Step 2: Convert to fraction form
    2,509.11/3,763.40 = 865.77/x
  3. Step 3: Cross multiply
    2,509.11x = 3,763.40 × 865.77
  4. Step 4: Simplify right side
    2,509.11x = 3,258,238.82
  5. Step 5: Solve for x
    x = 3,258,238.82/2,509.11
  6. Step 6: Final answer
    x = 1,298.56

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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.