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Finding the Fourth Proportional to 2,846, 3,927.64 and 1,604.08

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Solution

The fourth proportional to 2,846, 3,927.64 and 1,604.08 is: 2,213.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846 : 3,927.64 = 1,604.08 : x
  2. Step 2: Convert to fraction form
    2,846/3,927.64 = 1,604.08/x
  3. Step 3: Cross multiply
    2,846x = 3,927.64 × 1,604.08
  4. Step 4: Simplify right side
    2,846x = 6,300,248.77
  5. Step 5: Solve for x
    x = 6,300,248.77/2,846
  6. Step 6: Final answer
    x = 2,213.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.