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Finding the Fourth Proportional to 2,662.14, 3,674.04 and 1,543.06

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Solution

The fourth proportional to 2,662.14, 3,674.04 and 1,543.06 is: 2,129.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.14 : 3,674.04 = 1,543.06 : x
  2. Step 2: Convert to fraction form
    2,662.14/3,674.04 = 1,543.06/x
  3. Step 3: Cross multiply
    2,662.14x = 3,674.04 × 1,543.06
  4. Step 4: Simplify right side
    2,662.14x = 5,669,264.16
  5. Step 5: Solve for x
    x = 5,669,264.16/2,662.14
  6. Step 6: Final answer
    x = 2,129.59

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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.