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Finding the Fourth Proportional to 2,456.63, 3,685.91 and 917.75

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Solution

The fourth proportional to 2,456.63, 3,685.91 and 917.75 is: 1,376.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.63 : 3,685.91 = 917.75 : x
  2. Step 2: Convert to fraction form
    2,456.63/3,685.91 = 917.75/x
  3. Step 3: Cross multiply
    2,456.63x = 3,685.91 × 917.75
  4. Step 4: Simplify right side
    2,456.63x = 3,382,739.31
  5. Step 5: Solve for x
    x = 3,382,739.31/2,456.63
  6. Step 6: Final answer
    x = 1,376.98

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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.