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Finding the Fourth Proportional to 2,496.66, 3,745.01 and 1,109.67

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Solution

The fourth proportional to 2,496.66, 3,745.01 and 1,109.67 is: 1,664.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.66 : 3,745.01 = 1,109.67 : x
  2. Step 2: Convert to fraction form
    2,496.66/3,745.01 = 1,109.67/x
  3. Step 3: Cross multiply
    2,496.66x = 3,745.01 × 1,109.67
  4. Step 4: Simplify right side
    2,496.66x = 4,155,719.70
  5. Step 5: Solve for x
    x = 4,155,719.70/2,496.66
  6. Step 6: Final answer
    x = 1,664.51

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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.