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Finding the Fourth Proportional to 2,635.00, 3,952.50 and 1,155.67

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Solution

The fourth proportional to 2,635.00, 3,952.50 and 1,155.67 is: 1,733.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.00 : 3,952.50 = 1,155.67 : x
  2. Step 2: Convert to fraction form
    2,635.00/3,952.50 = 1,155.67/x
  3. Step 3: Cross multiply
    2,635.00x = 3,952.50 × 1,155.67
  4. Step 4: Simplify right side
    2,635.00x = 4,567,771.46
  5. Step 5: Solve for x
    x = 4,567,771.46/2,635.00
  6. Step 6: Final answer
    x = 1,733.50

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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.