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Finding the Fourth Proportional to 1,647.45, 2,470.46 and 492.93

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Solution

The fourth proportional to 1,647.45, 2,470.46 and 492.93 is: 739.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.45 : 2,470.46 = 492.93 : x
  2. Step 2: Convert to fraction form
    1,647.45/2,470.46 = 492.93/x
  3. Step 3: Cross multiply
    1,647.45x = 2,470.46 × 492.93
  4. Step 4: Simplify right side
    1,647.45x = 1,217,761.38
  5. Step 5: Solve for x
    x = 1,217,761.38/1,647.45
  6. Step 6: Final answer
    x = 739.18

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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.