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Finding the Fourth Proportional to 1,884.24, 2,826.81 and 651.64

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Solution

The fourth proportional to 1,884.24, 2,826.81 and 651.64 is: 977.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.24 : 2,826.81 = 651.64 : x
  2. Step 2: Convert to fraction form
    1,884.24/2,826.81 = 651.64/x
  3. Step 3: Cross multiply
    1,884.24x = 2,826.81 × 651.64
  4. Step 4: Simplify right side
    1,884.24x = 1,842,062.47
  5. Step 5: Solve for x
    x = 1,842,062.47/1,884.24
  6. Step 6: Final answer
    x = 977.62

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Why These Related Problems?

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