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Finding the Fourth Proportional to 2,662.32, 3,674.46 and 1,543.08

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Solution

The fourth proportional to 2,662.32, 3,674.46 and 1,543.08 is: 2,129.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.32 : 3,674.46 = 1,543.08 : x
  2. Step 2: Convert to fraction form
    2,662.32/3,674.46 = 1,543.08/x
  3. Step 3: Cross multiply
    2,662.32x = 3,674.46 × 1,543.08
  4. Step 4: Simplify right side
    2,662.32x = 5,669,985.74
  5. Step 5: Solve for x
    x = 5,669,985.74/2,662.32
  6. Step 6: Final answer
    x = 2,129.72

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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.