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Finding the Fourth Proportional to 2,713.06, 3,744.08 and 1,664.50

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Solution

The fourth proportional to 2,713.06, 3,744.08 and 1,664.50 is: 2,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.06 : 3,744.08 = 1,664.50 : x
  2. Step 2: Convert to fraction form
    2,713.06/3,744.08 = 1,664.50/x
  3. Step 3: Cross multiply
    2,713.06x = 3,744.08 × 1,664.50
  4. Step 4: Simplify right side
    2,713.06x = 6,232,021.16
  5. Step 5: Solve for x
    x = 6,232,021.16/2,713.06
  6. Step 6: Final answer
    x = 2,297.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.