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Finding the Fourth Proportional to 2,323.54, 3,487.74 and 1,707.94

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Solution

The fourth proportional to 2,323.54, 3,487.74 and 1,707.94 is: 2,563.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.54 : 3,487.74 = 1,707.94 : x
  2. Step 2: Convert to fraction form
    2,323.54/3,487.74 = 1,707.94/x
  3. Step 3: Cross multiply
    2,323.54x = 3,487.74 × 1,707.94
  4. Step 4: Simplify right side
    2,323.54x = 5,956,850.66
  5. Step 5: Solve for x
    x = 5,956,850.66/2,323.54
  6. Step 6: Final answer
    x = 2,563.70

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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.