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Finding the Fourth Proportional to 2,662.84, 3,674.66 and 1,543.83

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Solution

The fourth proportional to 2,662.84, 3,674.66 and 1,543.83 is: 2,130.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.84 : 3,674.66 = 1,543.83 : x
  2. Step 2: Convert to fraction form
    2,662.84/3,674.66 = 1,543.83/x
  3. Step 3: Cross multiply
    2,662.84x = 3,674.66 × 1,543.83
  4. Step 4: Simplify right side
    2,662.84x = 5,673,050.35
  5. Step 5: Solve for x
    x = 5,673,050.35/2,662.84
  6. Step 6: Final answer
    x = 2,130.45

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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.