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Finding the Fourth Proportional to 2,392.28, 3,586.94 and 929.72

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Solution

The fourth proportional to 2,392.28, 3,586.94 and 929.72 is: 1,394.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.28 : 3,586.94 = 929.72 : x
  2. Step 2: Convert to fraction form
    2,392.28/3,586.94 = 929.72/x
  3. Step 3: Cross multiply
    2,392.28x = 3,586.94 × 929.72
  4. Step 4: Simplify right side
    2,392.28x = 3,334,861.15
  5. Step 5: Solve for x
    x = 3,334,861.15/2,392.28
  6. Step 6: Final answer
    x = 1,394.01

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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.