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Finding the Fourth Proportional to 2,390.26, 3,586.74 and 929.21

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Solution

The fourth proportional to 2,390.26, 3,586.74 and 929.21 is: 1,394.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.26 : 3,586.74 = 929.21 : x
  2. Step 2: Convert to fraction form
    2,390.26/3,586.74 = 929.21/x
  3. Step 3: Cross multiply
    2,390.26x = 3,586.74 × 929.21
  4. Step 4: Simplify right side
    2,390.26x = 3,332,834.68
  5. Step 5: Solve for x
    x = 3,332,834.68/2,390.26
  6. Step 6: Final answer
    x = 1,394.34

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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.