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Finding the Fourth Proportional to 2,884.32, 4,320.47 and 2,676.77

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Solution

The fourth proportional to 2,884.32, 4,320.47 and 2,676.77 is: 4,009.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.32 : 4,320.47 = 2,676.77 : x
  2. Step 2: Convert to fraction form
    2,884.32/4,320.47 = 2,676.77/x
  3. Step 3: Cross multiply
    2,884.32x = 4,320.47 × 2,676.77
  4. Step 4: Simplify right side
    2,884.32x = 11,564,869.50
  5. Step 5: Solve for x
    x = 11,564,869.50/2,884.32
  6. Step 6: Final answer
    x = 4,009.57

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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.