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Finding the Fourth Proportional to 2,864.46, 3,952.95 and 1,605.51

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Solution

The fourth proportional to 2,864.46, 3,952.95 and 1,605.51 is: 2,215.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.46 : 3,952.95 = 1,605.51 : x
  2. Step 2: Convert to fraction form
    2,864.46/3,952.95 = 1,605.51/x
  3. Step 3: Cross multiply
    2,864.46x = 3,952.95 × 1,605.51
  4. Step 4: Simplify right side
    2,864.46x = 6,346,500.75
  5. Step 5: Solve for x
    x = 6,346,500.75/2,864.46
  6. Step 6: Final answer
    x = 2,215.60

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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.