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Finding the Fourth Proportional to 2,864.64, 3,953.16 and 1,605.78

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Solution

The fourth proportional to 2,864.64, 3,953.16 and 1,605.78 is: 2,215.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.64 : 3,953.16 = 1,605.78 : x
  2. Step 2: Convert to fraction form
    2,864.64/3,953.16 = 1,605.78/x
  3. Step 3: Cross multiply
    2,864.64x = 3,953.16 × 1,605.78
  4. Step 4: Simplify right side
    2,864.64x = 6,347,905.26
  5. Step 5: Solve for x
    x = 6,347,905.26/2,864.64
  6. Step 6: Final answer
    x = 2,215.95

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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.