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Finding the Fourth Proportional to 2,390.31, 3,584.86 and 928.67

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Solution

The fourth proportional to 2,390.31, 3,584.86 and 928.67 is: 1,392.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.31 : 3,584.86 = 928.67 : x
  2. Step 2: Convert to fraction form
    2,390.31/3,584.86 = 928.67/x
  3. Step 3: Cross multiply
    2,390.31x = 3,584.86 × 928.67
  4. Step 4: Simplify right side
    2,390.31x = 3,329,131.69
  5. Step 5: Solve for x
    x = 3,329,131.69/2,390.31
  6. Step 6: Final answer
    x = 1,392.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.