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Finding the Fourth Proportional to 2,911.65, 4,363.16 and 2,812.29

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Solution

The fourth proportional to 2,911.65, 4,363.16 and 2,812.29 is: 4,214.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.65 : 4,363.16 = 2,812.29 : x
  2. Step 2: Convert to fraction form
    2,911.65/4,363.16 = 2,812.29/x
  3. Step 3: Cross multiply
    2,911.65x = 4,363.16 × 2,812.29
  4. Step 4: Simplify right side
    2,911.65x = 12,270,457.17
  5. Step 5: Solve for x
    x = 12,270,457.17/2,911.65
  6. Step 6: Final answer
    x = 4,214.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.