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Finding the Fourth Proportional to 1,235.17, 1,849.51 and 867.97

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Solution

The fourth proportional to 1,235.17, 1,849.51 and 867.97 is: 1,299.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.17 : 1,849.51 = 867.97 : x
  2. Step 2: Convert to fraction form
    1,235.17/1,849.51 = 867.97/x
  3. Step 3: Cross multiply
    1,235.17x = 1,849.51 × 867.97
  4. Step 4: Simplify right side
    1,235.17x = 1,605,319.19
  5. Step 5: Solve for x
    x = 1,605,319.19/1,235.17
  6. Step 6: Final answer
    x = 1,299.67

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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.