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Finding the Fourth Proportional to 2,864.63, 3,953.41 and 1,605.69

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Solution

The fourth proportional to 2,864.63, 3,953.41 and 1,605.69 is: 2,215.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.63 : 3,953.41 = 1,605.69 : x
  2. Step 2: Convert to fraction form
    2,864.63/3,953.41 = 1,605.69/x
  3. Step 3: Cross multiply
    2,864.63x = 3,953.41 × 1,605.69
  4. Step 4: Simplify right side
    2,864.63x = 6,347,946.89
  5. Step 5: Solve for x
    x = 6,347,946.89/2,864.63
  6. Step 6: Final answer
    x = 2,215.97

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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.