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Finding the Fourth Proportional to 1,884.32, 2,825.60 and 651.32

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Solution

The fourth proportional to 1,884.32, 2,825.60 and 651.32 is: 976.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.32 : 2,825.60 = 651.32 : x
  2. Step 2: Convert to fraction form
    1,884.32/2,825.60 = 651.32/x
  3. Step 3: Cross multiply
    1,884.32x = 2,825.60 × 651.32
  4. Step 4: Simplify right side
    1,884.32x = 1,840,369.79
  5. Step 5: Solve for x
    x = 1,840,369.79/1,884.32
  6. Step 6: Final answer
    x = 976.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.