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Finding the Fourth Proportional to 2,999.16, 4,142.07 and 2,283.37

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Solution

The fourth proportional to 2,999.16, 4,142.07 and 2,283.37 is: 3,153.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.16 : 4,142.07 = 2,283.37 : x
  2. Step 2: Convert to fraction form
    2,999.16/4,142.07 = 2,283.37/x
  3. Step 3: Cross multiply
    2,999.16x = 4,142.07 × 2,283.37
  4. Step 4: Simplify right side
    2,999.16x = 9,457,878.38
  5. Step 5: Solve for x
    x = 9,457,878.38/2,999.16
  6. Step 6: Final answer
    x = 3,153.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.