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Finding the Fourth Proportional to 2,847.16, 3,929.10 and 1,605.16

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Solution

The fourth proportional to 2,847.16, 3,929.10 and 1,605.16 is: 2,215.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.16 : 3,929.10 = 1,605.16 : x
  2. Step 2: Convert to fraction form
    2,847.16/3,929.10 = 1,605.16/x
  3. Step 3: Cross multiply
    2,847.16x = 3,929.10 × 1,605.16
  4. Step 4: Simplify right side
    2,847.16x = 6,306,834.16
  5. Step 5: Solve for x
    x = 6,306,834.16/2,847.16
  6. Step 6: Final answer
    x = 2,215.13

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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.