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Finding the Fourth Proportional to 2,391.52, 3,586.72 and 930.08

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Solution

The fourth proportional to 2,391.52, 3,586.72 and 930.08 is: 1,394.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.52 : 3,586.72 = 930.08 : x
  2. Step 2: Convert to fraction form
    2,391.52/3,586.72 = 930.08/x
  3. Step 3: Cross multiply
    2,391.52x = 3,586.72 × 930.08
  4. Step 4: Simplify right side
    2,391.52x = 3,335,936.54
  5. Step 5: Solve for x
    x = 3,335,936.54/2,391.52
  6. Step 6: Final answer
    x = 1,394.90

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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.