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Finding the Fourth Proportional to 2,864.08, 3,952.64 and 1,605.07

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Solution

The fourth proportional to 2,864.08, 3,952.64 and 1,605.07 is: 2,215.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.08 : 3,952.64 = 1,605.07 : x
  2. Step 2: Convert to fraction form
    2,864.08/3,952.64 = 1,605.07/x
  3. Step 3: Cross multiply
    2,864.08x = 3,952.64 × 1,605.07
  4. Step 4: Simplify right side
    2,864.08x = 6,344,263.88
  5. Step 5: Solve for x
    x = 6,344,263.88/2,864.08
  6. Step 6: Final answer
    x = 2,215.11

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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.