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Finding the Fourth Proportional to 2,313.21, 3,470.42 and 926.59

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Solution

The fourth proportional to 2,313.21, 3,470.42 and 926.59 is: 1,390.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.21 : 3,470.42 = 926.59 : x
  2. Step 2: Convert to fraction form
    2,313.21/3,470.42 = 926.59/x
  3. Step 3: Cross multiply
    2,313.21x = 3,470.42 × 926.59
  4. Step 4: Simplify right side
    2,313.21x = 3,215,654.01
  5. Step 5: Solve for x
    x = 3,215,654.01/2,313.21
  6. Step 6: Final answer
    x = 1,390.13

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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.