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Finding the Fourth Proportional to 2,662.29, 3,674.14 and 1,543.59

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Solution

The fourth proportional to 2,662.29, 3,674.14 and 1,543.59 is: 2,130.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.29 : 3,674.14 = 1,543.59 : x
  2. Step 2: Convert to fraction form
    2,662.29/3,674.14 = 1,543.59/x
  3. Step 3: Cross multiply
    2,662.29x = 3,674.14 × 1,543.59
  4. Step 4: Simplify right side
    2,662.29x = 5,671,361.90
  5. Step 5: Solve for x
    x = 5,671,361.90/2,662.29
  6. Step 6: Final answer
    x = 2,130.26

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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.