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Finding the Fourth Proportional to 2,317.32, 3,475.97 and 929.67

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Solution

The fourth proportional to 2,317.32, 3,475.97 and 929.67 is: 1,394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.32 : 3,475.97 = 929.67 : x
  2. Step 2: Convert to fraction form
    2,317.32/3,475.97 = 929.67/x
  3. Step 3: Cross multiply
    2,317.32x = 3,475.97 × 929.67
  4. Step 4: Simplify right side
    2,317.32x = 3,231,500.38
  5. Step 5: Solve for x
    x = 3,231,500.38/2,317.32
  6. Step 6: Final answer
    x = 1,394.50

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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.