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Finding the Fourth Proportional to 2,973.67, 4,094.32 and 2,524.61

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Solution

The fourth proportional to 2,973.67, 4,094.32 and 2,524.61 is: 3,476.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.67 : 4,094.32 = 2,524.61 : x
  2. Step 2: Convert to fraction form
    2,973.67/4,094.32 = 2,524.61/x
  3. Step 3: Cross multiply
    2,973.67x = 4,094.32 × 2,524.61
  4. Step 4: Simplify right side
    2,973.67x = 10,336,534.43
  5. Step 5: Solve for x
    x = 10,336,534.43/2,973.67
  6. Step 6: Final answer
    x = 3,476.02

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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.