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Finding the Fourth Proportional to 2,391.54, 3,586.23 and 929.58

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Solution

The fourth proportional to 2,391.54, 3,586.23 and 929.58 is: 1,393.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.54 : 3,586.23 = 929.58 : x
  2. Step 2: Convert to fraction form
    2,391.54/3,586.23 = 929.58/x
  3. Step 3: Cross multiply
    2,391.54x = 3,586.23 × 929.58
  4. Step 4: Simplify right side
    2,391.54x = 3,333,687.68
  5. Step 5: Solve for x
    x = 3,333,687.68/2,391.54
  6. Step 6: Final answer
    x = 1,393.95

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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.