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Finding the Fourth Proportional to 2,864.35, 3,952.74 and 1,605.48

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Solution

The fourth proportional to 2,864.35, 3,952.74 and 1,605.48 is: 2,215.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.35 : 3,952.74 = 1,605.48 : x
  2. Step 2: Convert to fraction form
    2,864.35/3,952.74 = 1,605.48/x
  3. Step 3: Cross multiply
    2,864.35x = 3,952.74 × 1,605.48
  4. Step 4: Simplify right side
    2,864.35x = 6,346,045.02
  5. Step 5: Solve for x
    x = 6,346,045.02/2,864.35
  6. Step 6: Final answer
    x = 2,215.53

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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.